From 28407333ffceca9b99fae721c30e8ae146a863da Mon Sep 17 00:00:00 2001 From: Justin Gassner Date: Wed, 14 Feb 2024 07:24:38 +0100 Subject: Update --- .../locally-convex-spaces/krein-milman-theorem.md | 19 +++++++++++++++++++ 1 file changed, 19 insertions(+) create mode 100644 pages/more-functional-analysis/locally-convex-spaces/krein-milman-theorem.md (limited to 'pages/more-functional-analysis/locally-convex-spaces/krein-milman-theorem.md') diff --git a/pages/more-functional-analysis/locally-convex-spaces/krein-milman-theorem.md b/pages/more-functional-analysis/locally-convex-spaces/krein-milman-theorem.md new file mode 100644 index 0000000..58b9182 --- /dev/null +++ b/pages/more-functional-analysis/locally-convex-spaces/krein-milman-theorem.md @@ -0,0 +1,19 @@ +--- +title: Krein–Milman Theorem +parent: Locally Convex Spaces +grand_parent: More Functional Analysis +nav_order: 2 +--- + +# {{ page.title }} + +## Extreme Points + +{% definition Extreme Point %} +Suppose $C$ is a convex subset of a vector space $X$. +We say that an element $x \in C$ is an *extreme point* of $C$ +if +{% enddefinition %} + +{% proof %} +{% endproof %} -- cgit v1.2.3-54-g00ecf