I: Functional Analysis
- 1st Edition, Volume 1 - December 28, 1980
- Imprint: Academic Press
- Authors: Michael Reed, Barry Simon
- Language: English
- Hardback ISBN:9 7 8 - 0 - 1 2 - 5 8 5 0 5 0 - 6
- Paperback ISBN:9 7 8 - 0 - 1 2 - 3 9 5 4 5 7 - 2
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 5 7 0 4 8 - 8
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… Read more
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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.
Graduate and advanced undergraduate students studying mathematics.
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
- Edition: 1
- Volume: 1
- Published: December 28, 1980
- Imprint: Academic Press
- Language: English
MR
Michael Reed
Affiliations and expertise
Duke University, North CarolinaBS
Barry Simon
Affiliations and expertise
Princeton University, New Jersey