I: Functional Analysis

Michael Reed (Author), Barry Simon (Author)

9780125850506

Hardback, published 23 February 1981

416 pages
22.9 x 15.1 x 2.7 cm, 0.79 kg

This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations.

Preliminaries
Hilbert Spaces
Banach Spaces
Topological Spaces
Locally Convex Spaces
Bounded Operators
The Spectral Theorem
Unbounded Operators
The Fourier Transform
Supplementary Material
List of Symbols
Index

Subject Areas: Physics [PH], Mathematics [PB]