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.

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

Details

No. of pages:
400
Language:
English
Copyright:
© 1980
Published:
Imprint:
Academic Press
Print ISBN:
9780125850506
Electronic ISBN:
9780080570488

About the editors

Michael Reed

Affiliations and Expertise

Duke University, North Carolina

Barry Simon

Affiliations and Expertise

Princeton University, New Jersey