Foundations of Modern Analysis

Front Cover
Courier Corporation, Jan 1, 1982 - Mathematics - 250 pages
Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any course on modern analysis. Preface. Bibliography. Index.
 

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Contents

Preface
1
1
8
1
17
INTEGRATION
29
METRIC SPACES
90
ELEMENTS OF FUNCTIONAL ANALYSIS
123
COMPLETELY CONTINUOUS OPERATORS
186
HILBERT SPACES AND SPECTRAL THEORY
201
4
213
Bibliography
244
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