pages/functional-analysis-basics/banach-alaoglu-theorem.md


1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
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