From 777f9d3fd8caf56e6bc6999a4b05379307d0733f Mon Sep 17 00:00:00 2001 From: Justin Gassner Date: Tue, 12 Sep 2023 07:36:33 +0200 Subject: Initial commit --- .../banach-alaoglu-theorem.md | 19 +++++++++++++++++++ 1 file changed, 19 insertions(+) create mode 100644 pages/functional-analysis-basics/banach-alaoglu-theorem.md (limited to 'pages/functional-analysis-basics/banach-alaoglu-theorem.md') diff --git a/pages/functional-analysis-basics/banach-alaoglu-theorem.md b/pages/functional-analysis-basics/banach-alaoglu-theorem.md new file mode 100644 index 0000000..59e4a92 --- /dev/null +++ b/pages/functional-analysis-basics/banach-alaoglu-theorem.md @@ -0,0 +1,19 @@ +--- +title: Banach–Alaoglu Theorem +parent: Functional Analysis Basics +nav_order: 3 +# cspell:words +--- + +# {{ page.title }} + +{: .theorem-title } +> {{ page.title }} +> {: #{{ page.title | slugify }} } +> +> The closed unit ball in the dual of a normed space is weak\* compact. + +{% proof %} +{% endproof %} + +## Generalization: Alaoglu–Bourbaki -- cgit v1.2.3-54-g00ecf