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Analysis Now : Graduate Texts In Mathematics - Gert K. Pedersen

Analysis Now

Graduate Texts In Mathematics

Hardcover

Published: 1st January 1996
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Graduate students in mathematics, who want to travel light, will find this book invaluable; impatient young researchers in other fields will enjoy it as an instant reference to the highlights of modern analysis. Starting with general topology, it moves on to normed and seminormed linear spaces. From there it gives an introduction to the general theory of operators on Hilbert space, followed by a detailed exposition of the various forms the spectral theorem may take; from Gelfand theory, via spectral measures, to maximal commutative von Neumann algebras. The book concludes with two supplementary chapters: a concise account of unbounded operators and their spectral theory, and a complete course in measure and integration theory from an advanced point of view.

G.K. Pedersen Analysis Now "The writing is clear and precise, but has an informal and humorous touch which enlivens the material. One of the strengths of the book is the excellent set of problems, which accompany the text."--MATHEMATICAL REVIEWS

General Topology
Banach Spaces
Hilbert Spaces
Spectral Theory
Unbounded Operators
Integration Theory
Bibliography
List of Symbols
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387967882
ISBN-10: 0387967885
Series: Graduate Texts In Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 280
Published: 1st January 1996
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 24.13 x 15.88  x 1.91
Weight (kg): 0.54