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href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F" target="_blank" class="mw-helplink"><span class="mw-helplink-icon"></span>Справка</a></div> </div> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-namespace">Категория</span><span class="mw-page-title-separator">:</span><span class="mw-page-title-main">Теоремы функционального анализа</span></h1> <div id="bodyContent" class="vector-body"> <div id="siteSub" class="noprint">Материал из Википедии — свободной энциклопедии</div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="contentSub2"></div> <div id="jump-to-nav"></div> <a class="mw-jump-link" href="#mw-head">Перейти к навигации</a> <a class="mw-jump-link" href="#searchInput">Перейти к поиску</a> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="ru" dir="ltr"><div id="catmore" class="hatnote navigation-not-searchable">Основная статья: <b><a href="/wiki/%D0%A4%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D0%BE%D0%BD%D0%B0%D0%BB%D1%8C%D0%BD%D1%8B%D0%B9_%D0%B0%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7" title="Функциональный анализ">Функциональный анализ</a></b></div></div><div class="mw-category-generated" lang="ru" dir="ltr"><div id="mw-pages"> <h2>Страницы в категории «Теоремы функционального анализа»</h2> <p>Показаны 53 страницы из 53, находящихся в данной категории. <a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D0%B7%D0%B0%D1%86%D0%B8%D1%8F/FAQ#Страница_категории_не_обновляется" title="Википедия:Категоризация/FAQ">Список ниже может не отражать последних изменений.</a> </p><div lang="ru" dir="ltr" class="mw-content-ltr"><div class="mw-category mw-category-columns"><div class="mw-category-group"><h3>А</h3> <ul><li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%90%D1%81%D0%BA%D0%BE%D0%BB%D0%B8_%E2%80%94_%D0%90%D1%80%D1%86%D0%B5%D0%BB%D0%B0" title="Теорема Асколи — Арцела">Теорема Асколи — Арцела</a></li></ul></div><div class="mw-category-group"><h3>Б</h3> <ul><li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%91%D0%B0%D0%BD%D0%B0%D1%85%D0%B0_%D0%BE%D0%B1_%D0%BE%D0%B1%D1%80%D0%B0%D1%82%D0%BD%D0%BE%D0%BC_%D0%BE%D0%BF%D0%B5%D1%80%D0%B0%D1%82%D0%BE%D1%80%D0%B5" title="Теорема Банаха об обратном операторе">Теорема Банаха об обратном операторе</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%91%D0%B0%D0%BD%D0%B0%D1%85%D0%B0_%D0%BE_%D0%BD%D0%B5%D0%BF%D0%BE%D0%B4%D0%B2%D0%B8%D0%B6%D0%BD%D0%BE%D0%B9_%D1%82%D0%BE%D1%87%D0%BA%D0%B5" title="Теорема Банаха о неподвижной точке">Теорема Банаха о неподвижной точке</a></li></ul></div><div class="mw-category-group"><h3>В</h3> <ul><li><a href="/wiki/%D0%9E%D0%B1%D1%89%D0%B0%D1%8F_%D1%82%D0%B0%D1%83%D0%B1%D0%B5%D1%80%D0%BE%D0%B2%D0%B0_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%92%D0%B8%D0%BD%D0%B5%D1%80%D0%B0" title="Общая тауберова теорема Винера">Общая тауберова теорема Винера</a></li></ul></div><div class="mw-category-group"><h3>Г</h3> <ul><li><a href="/wiki/%D0%9D%D0%B5%D1%80%D0%B0%D0%B2%D0%B5%D0%BD%D1%81%D1%82%D0%B2%D0%BE_%D0%93%D1%91%D0%BB%D1%8C%D0%B4%D0%B5%D1%80%D0%B0" title="Неравенство Гёльдера">Неравенство Гёльдера</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%93%D0%B5%D0%BB%D1%8C%D1%84%D0%B0%D0%BD%D0%B4%D0%B0_%E2%80%94_%D0%9D%D0%B0%D0%B9%D0%BC%D0%B0%D1%80%D0%BA%D0%B0" title="Теорема Гельфанда — Наймарка">Теорема Гельфанда — Наймарка</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%93%D0%B8%D0%BB%D1%8C%D0%B1%D0%B5%D1%80%D1%82%D0%B0_%E2%80%94_%D0%A8%D0%BC%D0%B8%D0%B4%D1%82%D0%B0" title="Теорема Гильберта — Шмидта">Теорема Гильберта — Шмидта</a></li></ul></div><div class="mw-category-group"><h3>Д</h3> <ul><li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%94%D0%B2%D0%BE%D1%80%D0%B5%D1%86%D0%BA%D0%BE%D0%B3%D0%BE" title="Теорема Дворецкого">Теорема Дворецкого</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%94%D0%B2%D0%BE%D1%80%D0%B5%D1%86%D0%BA%D0%BE%D0%B3%D0%BE_%E2%80%94_%D0%A0%D0%BE%D0%B4%D0%B6%D0%B5%D1%80%D1%81%D0%B0" title="Теорема Дворецкого — Роджерса">Теорема Дворецкого — Роджерса</a></li></ul></div><div class="mw-category-group"><h3>Е</h3> <ul><li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%95%D0%B3%D0%BE%D1%80%D0%BE%D0%B2%D0%B0" title="Теорема Егорова">Теорема Егорова</a></li></ul></div><div class="mw-category-group"><h3>З</h3> <ul><li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%BE_%D0%B7%D0%B0%D0%BC%D0%BA%D0%BD%D1%83%D1%82%D0%BE%D0%BC_%D0%B3%D1%80%D0%B0%D1%84%D0%B8%D0%BA%D0%B5" title="Теорема о замкнутом графике">Теорема о замкнутом графике</a></li></ul></div><div class="mw-category-group"><h3>К</h3> <ul><li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%9A%D0%B0%D1%80%D0%BB%D0%B5%D0%BC%D0%B0%D0%BD%D0%B0_%D0%BE_%D0%BA%D0%B2%D0%B0%D0%B7%D0%B8%D0%B0%D0%BD%D0%B0%D0%BB%D0%B8%D1%82%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B8%D1%85_%D0%BA%D0%BB%D0%B0%D1%81%D1%81%D0%B0%D1%85_%D1%84%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D0%B9" title="Теорема Карлемана о квазианалитических классах функций">Теорема Карлемана о квазианалитических классах функций</a></li> <li><a href="/wiki/%D0%9D%D0%B5%D1%80%D0%B0%D0%B2%D0%B5%D0%BD%D1%81%D1%82%D0%B2%D0%BE_%D0%9A%D0%BE%D1%88%D0%B8_%E2%80%94_%D0%91%D1%83%D0%BD%D1%8F%D0%BA%D0%BE%D0%B2%D1%81%D0%BA%D0%BE%D0%B3%D0%BE" title="Неравенство Коши — Буняковского">Неравенство Коши — Буняковского</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%9A%D1%80%D0%B5%D0%B9%D0%BD%D0%B0_%E2%80%94_%D0%9C%D0%B8%D0%BB%D1%8C%D0%BC%D0%B0%D0%BD%D0%B0" title="Теорема Крейна — Мильмана">Теорема Крейна — Мильмана</a></li></ul></div><div class="mw-category-group"><h3>Л</h3> <ul><li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%9B%D0%B0%D0%BA%D1%81%D0%B0_%E2%80%94_%D0%9C%D0%B8%D0%BB%D1%8C%D0%B3%D1%80%D0%B0%D0%BC%D0%B0" title="Теорема Лакса — Мильграма">Теорема Лакса — Мильграма</a></li> <li><a href="/wiki/%D0%9B%D0%B5%D0%BC%D0%BC%D0%B0_%D0%91%D0%B5%D0%B7%D0%B8%D0%BA%D0%BE%D0%B2%D0%B8%D1%87%D0%B0_%D0%BE_%D0%BF%D0%BE%D0%BA%D1%80%D1%8B%D1%82%D0%B8%D1%8F%D1%85" title="Лемма Безиковича о покрытиях">Лемма Безиковича о покрытиях</a></li> <li><span class="redirect-in-category"><a href="/wiki/%D0%9B%D0%B5%D0%BC%D0%BC%D0%B0_%D0%A4%D0%B8%D0%BB%D0%B8%D0%BF%D0%BF%D0%BE%D0%B2%D0%B0" class="mw-redirect" title="Лемма Филиппова">Лемма Филиппова</a></span></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%9B%D1%83%D0%B7%D0%B8%D0%BD%D0%B0" title="Теорема Лузина">Теорема Лузина</a></li></ul></div><div class="mw-category-group"><h3>М</h3> <ul><li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%9C%D0%B0%D0%B7%D1%83%D1%80%D0%B0_%E2%80%94_%D0%A3%D0%BB%D0%B0%D0%BC%D0%B0" title="Теорема Мазура — Улама">Теорема Мазура — Улама</a></li> <li><a href="/wiki/%D0%9D%D0%B5%D1%80%D0%B0%D0%B2%D0%B5%D0%BD%D1%81%D1%82%D0%B2%D0%BE_%D0%9C%D0%B8%D0%BD%D0%BA%D0%BE%D0%B2%D1%81%D0%BA%D0%BE%D0%B3%D0%BE" title="Неравенство Минковского">Неравенство Минковского</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%9C%D0%BE%D1%80%D0%BE" title="Теорема Моро">Теорема Моро</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%9C%D1%8E%D0%BD%D1%82%D1%86%D0%B0_%E2%80%94_%D0%A1%D0%B0%D1%81%D0%B0" title="Теорема Мюнтца — Саса">Теорема Мюнтца — Саса</a></li></ul></div><div class="mw-category-group"><h3>Н</h3> <ul><li><a href="/wiki/%D0%9D%D0%B5%D1%80%D0%B0%D0%B2%D0%B5%D0%BD%D1%81%D1%82%D0%B2%D0%BE_%D0%91%D0%B5%D1%80%D0%BD%D1%88%D1%82%D0%B5%D0%B9%D0%BD%D0%B0_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B8%D0%B9_%D0%B0%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7)" title="Неравенство Бернштейна (математический анализ)">Неравенство Бернштейна (математический анализ)</a></li> <li><a href="/wiki/%D0%9D%D0%B5%D1%80%D0%B0%D0%B2%D0%B5%D0%BD%D1%81%D1%82%D0%B2%D0%BE_%D0%91%D0%B5%D1%81%D1%81%D0%B5%D0%BB%D1%8F" title="Неравенство Бесселя">Неравенство Бесселя</a></li> <li><a href="/wiki/%D0%9D%D0%B5%D1%80%D0%B0%D0%B2%D0%B5%D0%BD%D1%81%D1%82%D0%B2%D0%BE_%D0%94%D0%B6%D0%B5%D0%BA%D1%81%D0%BE%D0%BD%D0%B0_%E2%80%94_%D0%A1%D1%82%D0%B5%D1%87%D0%BA%D0%B8%D0%BD%D0%B0" title="Неравенство Джексона — Стечкина">Неравенство Джексона — Стечкина</a></li> <li><a href="/wiki/%D0%9D%D0%B5%D1%80%D0%B0%D0%B2%D0%B5%D0%BD%D1%81%D1%82%D0%B2%D0%BE_%D0%A4%D1%80%D0%B8%D0%B4%D1%80%D0%B8%D1%85%D1%81%D0%B0" title="Неравенство Фридрихса">Неравенство Фридрихса</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%9D%D1%8D%D1%88%D0%B0_%E2%80%94_%D0%9C%D0%BE%D0%B7%D0%B5%D1%80%D0%B0" title="Теорема Нэша — Мозера">Теорема Нэша — Мозера</a></li></ul></div><div class="mw-category-group"><h3>О</h3> <ul><li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%BE%D0%B1_%D0%BE%D1%82%D0%BA%D1%80%D1%8B%D1%82%D0%BE%D0%BC_%D0%BE%D1%82%D0%BE%D0%B1%D1%80%D0%B0%D0%B6%D0%B5%D0%BD%D0%B8%D0%B8" title="Теорема об открытом отображении">Теорема об открытом отображении</a></li></ul></div><div class="mw-category-group"><h3>П</h3> <ul><li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%9F%D0%B0%D1%80%D1%81%D0%B5%D0%B2%D0%B0%D0%BB%D1%8F" title="Теорема Парсеваля">Теорема Парсеваля</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%9F%D0%BB%D0%B0%D0%BD%D1%88%D0%B5%D1%80%D0%B5%D0%BB%D1%8F" title="Теорема Планшереля">Теорема Планшереля</a></li> <li><a href="/wiki/%D0%9F%D1%80%D0%B8%D0%BD%D1%86%D0%B8%D0%BF_%D1%80%D0%B0%D0%B2%D0%BD%D0%BE%D0%BC%D0%B5%D1%80%D0%BD%D0%BE%D0%B9_%D0%BE%D0%B3%D1%80%D0%B0%D0%BD%D0%B8%D1%87%D0%B5%D0%BD%D0%BD%D0%BE%D1%81%D1%82%D0%B8" title="Принцип равномерной ограниченности">Принцип равномерной ограниченности</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%9F%D1%83%D0%B0%D0%BD%D0%BA%D0%B0%D1%80%D0%B5_%D0%BE_%D1%80%D0%B0%D0%B7%D0%BB%D0%BE%D0%B6%D0%B5%D0%BD%D0%B8%D0%B8_%D0%B8%D0%BD%D1%82%D0%B5%D0%B3%D1%80%D0%B0%D0%BB%D0%BE%D0%B2_%D0%BF%D0%BE_%D0%BC%D0%B0%D0%BB%D0%BE%D0%BC%D1%83_%D0%BF%D0%B0%D1%80%D0%B0%D0%BC%D0%B5%D1%82%D1%80%D1%83" title="Теорема Пуанкаре о разложении интегралов по малому параметру">Теорема Пуанкаре о разложении интегралов по малому параметру</a></li></ul></div><div class="mw-category-group"><h3>Р</h3> <ul><li><a href="/wiki/%D0%A0%D0%B0%D0%B2%D0%B5%D0%BD%D1%81%D1%82%D0%B2%D0%BE_%D0%9F%D0%B0%D1%80%D1%81%D0%B5%D0%B2%D0%B0%D0%BB%D1%8F" title="Равенство Парсеваля">Равенство Парсеваля</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%A0%D0%B0%D0%B4%D0%BE%D0%BD%D0%B0_%E2%80%94_%D0%9D%D0%B8%D0%BA%D0%BE%D0%B4%D0%B8%D0%BC%D0%B0" title="Теорема Радона — Никодима">Теорема Радона — Никодима</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%A0%D0%B8%D1%81%D0%B0_%E2%80%94_%D0%A4%D0%B8%D1%88%D0%B5%D1%80%D0%B0" title="Теорема Риса — Фишера">Теорема Риса — Фишера</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%A0%D0%B8%D1%81%D0%B0_%D0%BE_%D0%BB%D0%B8%D0%BD%D0%B5%D0%B9%D0%BD%D0%BE%D0%BC_%D1%84%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D0%BE%D0%BD%D0%B0%D0%BB%D0%B5" title="Теорема Риса о линейном функционале">Теорема Риса о линейном функционале</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%A0%D0%B8%D1%81%D0%B0_%D0%BE_%D0%BF%D0%BE%D0%BB%D0%BD%D0%BE%D1%82%D0%B5" title="Теорема Риса о полноте">Теорема Риса о полноте</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%A0%D0%B8%D1%81%D0%B0_%E2%80%94_%D0%A2%D0%BE%D1%80%D0%B8%D0%BD%D0%B0" title="Теорема Риса — Торина">Теорема Риса — Торина</a></li></ul></div><div class="mw-category-group"><h3>С</h3> <ul><li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%A1%D0%B0%D0%B7%D0%BE%D0%BD%D0%BE%D0%B2%D0%B0" title="Теорема Сазонова">Теорема Сазонова</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%A1%D0%B0%D1%81%D0%B0" title="Теорема Саса">Теорема Саса</a></li> <li><a href="/wiki/%D0%A1%D0%BF%D0%B5%D0%BA%D1%82%D1%80%D0%B0%D0%BB%D1%8C%D0%BD%D0%B0%D1%8F_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0" title="Спектральная теорема">Спектральная теорема</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%A1%D1%82%D0%B5%D0%BA%D0%BB%D0%BE%D0%B2%D0%B0" title="Теорема Стеклова">Теорема Стеклова</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%A1%D1%82%D0%BE%D1%83%D0%BD%D0%B0_%D0%BE_%D0%B3%D1%80%D1%83%D0%BF%D0%BF%D0%B0%D1%85_%D1%83%D0%BD%D0%B8%D1%82%D0%B0%D1%80%D0%BD%D1%8B%D1%85_%D0%BE%D0%BF%D0%B5%D1%80%D0%B0%D1%82%D0%BE%D1%80%D0%BE%D0%B2_%D0%B2_%D0%B3%D0%B8%D0%BB%D1%8C%D0%B1%D0%B5%D1%80%D1%82%D0%BE%D0%B2%D0%BE%D0%BC_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%82%D0%B2%D0%B5" title="Теорема Стоуна о группах унитарных операторов в гильбертовом пространстве">Теорема Стоуна о группах унитарных операторов в гильбертовом пространстве</a></li></ul></div><div class="mw-category-group"><h3>Т</h3> <ul><li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%91%D0%B0%D0%BD%D0%B0%D1%85%D0%B0_%E2%80%94_%D0%9C%D0%B0%D0%B7%D1%83%D1%80%D0%B0" title="Теорема Банаха — Мазура">Теорема Банаха — Мазура</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%9C%D0%B0%D1%80%D0%BA%D0%BE%D0%B2%D0%B0_%E2%80%94_%D0%9A%D0%B0%D0%BA%D1%83%D1%82%D0%B0%D0%BD%D0%B8_%D0%BE_%D0%BD%D0%B5%D0%BF%D0%BE%D0%B4%D0%B2%D0%B8%D0%B6%D0%BD%D0%BE%D0%B9_%D1%82%D0%BE%D1%87%D0%BA%D0%B5" title="Теорема Маркова — Какутани о неподвижной точке">Теорема Маркова — Какутани о неподвижной точке</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%A0%D1%8B%D0%BB%D1%8C-%D0%9D%D0%B0%D1%80%D0%B4%D0%B7%D0%B5%D0%B2%D1%81%D0%BA%D0%BE%D0%B3%D0%BE_%D0%BE_%D0%BD%D0%B5%D0%BF%D0%BE%D0%B4%D0%B2%D0%B8%D0%B6%D0%BD%D0%BE%D0%B9_%D1%82%D0%BE%D1%87%D0%BA%D0%B5" title="Теорема Рыль-Нардзевского о неподвижной точке">Теорема Рыль-Нардзевского о неподвижной точке</a></li></ul></div><div class="mw-category-group"><h3>Ф</h3> <ul><li><a href="/wiki/%D0%9B%D0%B5%D0%BC%D0%BC%D0%B0_%D0%A4%D0%B0%D1%82%D1%83" title="Лемма Фату">Лемма Фату</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%A4%D0%B8%D1%85%D1%82%D0%B5%D0%BD%D0%B3%D0%BE%D0%BB%D1%8C%D1%86%D0%B0" title="Теорема Фихтенгольца">Теорема Фихтенгольца</a></li></ul></div><div class="mw-category-group"><h3>Х</h3> <ul><li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%A5%D0%B0%D0%BD%D0%B0_%E2%80%94_%D0%91%D0%B0%D0%BD%D0%B0%D1%85%D0%B0" title="Теорема Хана — Банаха">Теорема Хана — Банаха</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%A5%D0%B5%D0%BB%D0%BB%D0%B8%D0%BD%D0%B3%D0%B5%D1%80%D0%B0_%E2%80%94_%D0%A2%D1%91%D0%BF%D0%BB%D0%B8%D1%86%D0%B0" title="Теорема Хеллингера — Тёплица">Теорема Хеллингера — Тёплица</a></li></ul></div><div class="mw-category-group"><h3>Ч</h3> <ul><li><a href="/wiki/%D0%9D%D0%B5%D1%80%D0%B0%D0%B2%D0%B5%D0%BD%D1%81%D1%82%D0%B2%D0%BE_%D0%A7%D0%B5%D0%B1%D1%8B%D1%88%D1%91%D0%B2%D0%B0" title="Неравенство Чебышёва">Неравенство Чебышёва</a></li></ul></div><div class="mw-category-group"><h3>Ш</h3> <ul><li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%A8%D0%B0%D1%83%D0%B4%D0%B5%D1%80%D0%B0_%E2%80%94_%D0%A2%D0%B8%D1%85%D0%BE%D0%BD%D0%BE%D0%B2%D0%B0" title="Теорема Шаудера — Тихонова">Теорема Шаудера — Тихонова</a></li> <li><a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0_%D0%A8%D0%B2%D0%B0%D1%80%D1%86%D0%B0_%D0%BE_%D0%B2%D1%82%D0%BE%D1%80%D0%BE%D0%B9_%D0%BF%D1%80%D0%BE%D0%B8%D0%B7%D0%B2%D0%BE%D0%B4%D0%BD%D0%BE%D0%B9" title="Теорема Шварца о второй производной">Теорема Шварца о второй производной</a></li></ul></div></div></div> </div></div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Источник — <a dir="ltr" href="https://ru.wikipedia.org/w/index.php?title=Категория:Теоремы_функционального_анализа&oldid=63498178">https://ru.wikipedia.org/w/index.php?title=Категория:Теоремы_функционального_анализа&oldid=63498178</a></div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/%D0%A1%D0%BB%D1%83%D0%B6%D0%B5%D0%B1%D0%BD%D0%B0%D1%8F:%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D0%B8" title="Служебная:Категории">Категории</a>: <ul><li><a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B8%D0%B5_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D1%8B" title="Категория:Математические теоремы">Математические теоремы</a></li><li><a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%A4%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D0%BE%D0%BD%D0%B0%D0%BB%D1%8C%D0%BD%D1%8B%D0%B9_%D0%B0%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7" title="Категория:Функциональный анализ">Функциональный анализ</a></li></ul></div></div> </div> </div> <div id="mw-navigation"> <h2>Навигация</h2> <div id="mw-head"> <nav id="p-personal" class="mw-portlet mw-portlet-personal vector-user-menu-legacy vector-menu" aria-labelledby="p-personal-label" > <h3 id="p-personal-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Персональные инструменты</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anonuserpage" class="mw-list-item"><span title="Страница участника для моего IP">Вы не представились системе</span></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%D0%A1%D0%BB%D1%83%D0%B6%D0%B5%D0%B1%D0%BD%D0%B0%D1%8F:%D0%9C%D0%BE%D1%91_%D0%BE%D0%B1%D1%81%D1%83%D0%B6%D0%B4%D0%B5%D0%BD%D0%B8%D0%B5" title="Страница обсуждений для моего IP [n]" accesskey="n"><span>Обсуждение</span></a></li><li id="pt-anoncontribs" class="mw-list-item"><a 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[o]" accesskey="o"><span>Войти</span></a></li> </ul> </div> </nav> <div id="left-navigation"> <nav id="p-namespaces" class="mw-portlet mw-portlet-namespaces vector-menu-tabs vector-menu-tabs-legacy vector-menu" aria-labelledby="p-namespaces-label" > <h3 id="p-namespaces-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Пространства имён</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-category" class="selected mw-list-item"><a href="/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D1%8B_%D1%84%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D0%BE%D0%BD%D0%B0%D0%BB%D1%8C%D0%BD%D0%BE%D0%B3%D0%BE_%D0%B0%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7%D0%B0" title="Страница категории [c]" accesskey="c"><span>Категория</span></a></li><li id="ca-talk" class="new mw-list-item"><a href="/w/index.php?title=%D0%9E%D0%B1%D1%81%D1%83%D0%B6%D0%B4%D0%B5%D0%BD%D0%B8%D0%B5_%D0%BA%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D0%B8:%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D1%8B_%D1%84%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D0%BE%D0%BD%D0%B0%D0%BB%D1%8C%D0%BD%D0%BE%D0%B3%D0%BE_%D0%B0%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7%D0%B0&action=edit&redlink=1" rel="discussion" class="new" title="Обсуждение основной страницы (страница отсутствует) [t]" accesskey="t"><span>Обсуждение</span></a></li> </ul> </div> </nav> <nav id="p-variants" class="mw-portlet mw-portlet-variants emptyPortlet vector-menu-dropdown vector-menu" aria-labelledby="p-variants-label" > <input type="checkbox" id="p-variants-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-variants" class="vector-menu-checkbox" aria-labelledby="p-variants-label" > <label id="p-variants-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">русский</span> </label> <div class="vector-menu-content"> <ul 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href="/w/index.php?title=%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D1%8B_%D1%84%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D0%BE%D0%BD%D0%B0%D0%BB%D1%8C%D0%BD%D0%BE%D0%B3%D0%BE_%D0%B0%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7%D0%B0&veaction=edit" title="Редактировать данную страницу [v]" accesskey="v"><span>Править</span></a></li><li id="ca-edit" class="collapsible mw-list-item"><a href="/w/index.php?title=%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D1%8B_%D1%84%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D0%BE%D0%BD%D0%B0%D0%BB%D1%8C%D0%BD%D0%BE%D0%B3%D0%BE_%D0%B0%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7%D0%B0&action=edit" title="Править исходный текст этой страницы [e]" accesskey="e"><span>Править код</span></a></li><li id="ca-history" class="mw-list-item"><a href="/w/index.php?title=%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D1%8B_%D1%84%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D0%BE%D0%BD%D0%B0%D0%BB%D1%8C%D0%BD%D0%BE%D0%B3%D0%BE_%D0%B0%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7%D0%B0&action=history" title="Журнал изменений страницы [h]" accesskey="h"><span>История</span></a></li> </ul> </div> </nav> <nav id="p-cactions" class="mw-portlet mw-portlet-cactions emptyPortlet vector-menu-dropdown vector-menu" aria-labelledby="p-cactions-label" title="Больше возможностей" > <input type="checkbox" id="p-cactions-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-cactions" class="vector-menu-checkbox" aria-labelledby="p-cactions-label" > <label id="p-cactions-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Ещё</span> </label> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </nav> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <h3 >Поиск</h3> <form action="/w/index.php" id="searchform" class="vector-search-box-form"> <div id="simpleSearch" class="vector-search-box-inner" data-search-loc="header-navigation"> <input class="vector-search-box-input" type="search" name="search" placeholder="Искать в Википедии" aria-label="Искать в Википедии" autocapitalize="sentences" title="Искать в Википедии [f]" accesskey="f" id="searchInput" > <input type="hidden" name="title" value="Служебная:Поиск"> <input id="mw-searchButton" class="searchButton mw-fallbackSearchButton" type="submit" name="fulltext" title="Найти страницы, содержащие указанный текст" value="Найти"> <input id="searchButton" class="searchButton" type="submit" name="go" title="Перейти к странице, имеющей в точности такое название" value="Перейти"> </div> </form> </div> </div> </div> <div id="mw-panel" class="vector-legacy-sidebar"> <div id="p-logo" role="banner"> <a class="mw-wiki-logo" href="/wiki/%D0%97%D0%B0%D0%B3%D0%BB%D0%B0%D0%B2%D0%BD%D0%B0%D1%8F_%D1%81%D1%82%D1%80%D0%B0%D0%BD%D0%B8%D1%86%D0%B0" title="Перейти на заглавную страницу"></a> </div> <nav id="p-navigation" class="mw-portlet mw-portlet-navigation vector-menu-portal portal vector-menu" aria-labelledby="p-navigation-label" > <h3 id="p-navigation-label" class="vector-menu-heading " > <span class="vector-menu-heading-label">Навигация</span> </h3> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/%D0%97%D0%B0%D0%B3%D0%BB%D0%B0%D0%B2%D0%BD%D0%B0%D1%8F_%D1%81%D1%82%D1%80%D0%B0%D0%BD%D0%B8%D1%86%D0%B0" title="Перейти на заглавную страницу [z]" accesskey="z"><span>Заглавная страница</span></a></li><li id="n-content" class="mw-list-item"><a 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