Source: wikibot/theorems-in-functional-analysis
= Theorems in functional analysis
{wiki=Category:Theorems_in_functional_analysis}
In functional analysis, a branch of mathematical analysis, theorems play a crucial role in establishing the foundations and properties of various types of spaces, operators, and functions. Here are some key theorems and concepts associated with functional analysis: 1. **Banach Space Theorem**: A Banach space is a complete normed vector space.