Foundations of Modern Analysis

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Courier Corporation, 1970 - Mathematics - 250 pages
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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
lNTEGRATlON
29
METRlC SPACES
90
ELEMENTS OF FUNCTlONAL ANALYSlS
123
COMPLETELY CONTlNUOUS OPERATORS
186
HlLBERT SPACES AND SPECTRAL THEORY
201
Bibliography
244
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