I: Functional Analysis, Volume 1
1st Edition
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Table of Contents
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
Description
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.
Readership
Graduate and advanced undergraduate students studying mathematics.
Details
- No. of pages:
- 400
- Language:
- English
- Copyright:
- © Academic Press 1980
- Published:
- 23rd February 1981
- Imprint:
- Academic Press
- Hardcover ISBN:
- 9780125850506
- eBook ISBN:
- 9780080570488
Ratings and Reviews
About the Authors
Michael Reed Author
Affiliations and Expertise
Duke University, North Carolina
Barry Simon Author
Affiliations and Expertise
Princeton University, New Jersey