ENGLISH

Analysis Now

By Gert K. Pedersen (auth.)

Book information

Publisher
Springer-Verlag New York
Year
1989
ISBN
0387967885, 9780387967882
DOI
10.1007/978-1-4612-1007-8
LCC
QA320 .P39 1989
Open Library ID
OL2045419M
Language
english
Format
PDF
Filesize
11 MB (11317342 bytes)
Series
Graduate Texts in Mathematics 118
Edition
1
Pages
280\295
Time added
2011-06-04 13:46:07
Analysis

Description

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.

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