Functional Analysis An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras /
This textbook provides an introduction to functional analysis suitable for lecture courses to final year undergraduates or beginning graduates. Starting from the very basics of metric spaces, the book adopts a self-contained approach to Banach spaces and operator theory that covers the main topics,...
Saved in:
| Main Author: | |
|---|---|
| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2024.
|
| Edition: | 2nd ed. 2024. |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-031-27537-1 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- 1 Introduction
- Part I: Metric Spaces
- 2 Distance
- 3 Convergence and Continuity
- 4 Completeness and Separability
- 5 Connectedness
- 6 Compactness
- Part II: Banach and Hilbert Spaces
- 7 Normed Spaces
- 8 Continuous Linear Maps
- 9 The Classical Spaces
- 10 Hilbert Spaces
- 11 Banach Spaces
- 12 Differentiation and Integration
- Part III: Banach Algebras
- 13 Banach Algebras
- 14 Spectral Theory
- 15 C*-Algebras.