Functional Analysis (2nd Edition)
Functional Analysis: An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras
English | 2024 | ISBN: 3031275365 | 477 Pages | PDF EPUB (True) | 42 MB
English | 2024 | ISBN: 3031275365 | 477 Pages | PDF EPUB (True) | 42 MB
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, including the spectral theorem, the Gelfand transform, and Banach algebras. Various applications, such as least squares approximation, inverse problems, and Tikhonov regularization, illustrate the theory. Over 1000 worked examples and exercises of varying difficulty present the reader with ample material for reflection.