Geometric and Functional Analysis

Geometric and Functional Analysis is a field of mathematics that combines elements from both geometry and functional analysis. It typically focuses on the study of geometric properties of spaces and the functions defined on them, particularly in infinite-dimensional contexts. ### Functional Analysis Functional analysis is a branch of mathematical analysis dealing with function spaces and their properties. It primarily focuses on: - **Banach Spaces and Hilbert Spaces**: These are complete normed vector spaces and inner product spaces, respectively.