Hilbert Spaces
Abstract
This chapter is on the fundamentals of Hilbert Space. Consideration is also given to the more general notion of uniformly convex Banach spaces. It concludes with two major covering theorems, the Vitali Covering theorem and the Besicovitch Covering theorem. Also included is the important Hilbert Schmidt theorem and projections.
Fields of Study & Subjects
Advanced Banach Space Theory
Optimization and Variational Analysis
Nonlinear Differential Equations Analysis
Publication details
- Pages
- 53–75
- Publication date
- 10 January 2026
- Language
- EN
- Document type
- Book chapter