Banach algebras and the general theory of *-algebras 2 *-algebras

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1. Verfasser: Palmer, Theodore W. 1935- (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Cambridge [u.a.] Cambridge Univ. Press 2001
Ausgabe:1. publ.
Schriftenreihe:Encyclopedia of mathematics and its applications 79
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adam_text ENCYCLOPEDIA OF MATHEMATICS AND ITS APPLICATIONS BANACH ALGEBRAS AND THE GENERAL THEORY OF *-ALGEBRAS THEODORE W. PALMER UNIVERSITY OF OREGON CAMBRIDGE UNIVERSITY PRESS CONTENTS PREFACE 9 -ALGEBRAS 795 9.1 *-ALGEBRAS 798 9.2 -REPRESENTATIONS 862 9.3 DENSITY THEOREMS 884 9.4 TOPOLOGICALLY CYCLIC -REPRESENTATIONS 919 9.5 C*-SEMI-NORMS 942 9.6 TOPOLOGICALLY IRREDUCIBLE -REPRESENTATIONS 964 9.7 THE REDUCING IDEAL AND -REPRESENTATION TOPOLOGY 978 9.8 HERMITIAN AND SYMMETRIC -ALGEBRAS 1008 9.9 LINEAR MAPS BETWEEN *-ALGEBRAS 1020 10 SPECIAL *-ALGEBRAS 1033 10.1 G*-ALGEBRAS AND BG*-ALGEBRAS 1037 10.2 T*-ALGEBRAS, S*-ALGEBRAS, AND SQ*-ALGEBRAS . * * * * 1074 10.3 U*-ALGEBRAS . . . . 1083 10.4 HERMITIAN S*-ALGEBRAS AND 7S*-ALGEBRAS 1094 10.5 *-REGULARITY . 1117 10.6 *-ALGEBRAS WITH MINIMAL IDEALS 1142 11 BANACH *-ALGEBRAS 1153 11.1 FUNDAMENTAL RESULTS ON -REPRESENTATIONS * . 1153 11.2 UNITARY STRUCTURE OF BANACH *-ALGEBRAS 1173 11.3 AUTOMATIC CONTINUITY FOR BANACH *-ALGEBRAS 1185 11.4 HERMITIAN BANACH -ALGEBRAS . . V 1196 11.5 IDEAL STRUCTURE 1199 11.6 BANACH -ALGEBRAS WITH MINIMAL IDEALS AND H*-ALGEBRAS . 1203 11.7 HILBERT ALGEBRAS AND TOMITA ALGEBRAS 1214 XI 12 LOCALLY COMPACT GROUPS AND THEIR *-ALGEBRAS 1265 12.1 INTRODUCTION TO LOCALLY COMPACT GROUPS 1265 12.2CONNECTED GROUPS AND LIE GROUPS . 1305 12.3 TOTALLY DISCONNECTED, LOCALLY COMPACT GROUPS . . . . . . . 1326 12.4 INTRODUCTION TO GROUP REPRESENTATIONS J.382 12.5 CLASSES OF LOCALLY COMPACT GROUPS: DEFINITIONS 1422 12.6 CLASSES OF LOCALLY COMPACT GROUPS: RESULTS 1446 BIBLIOGRAPHY 1491 INDEX 1600 SYMBOL INDEX 1612 BRIEF CONTENTS OF VOLUME I 1 INTRODUCTION TO NORMED ALGEBRAS: EXAMPLES 1 2 THE SPECTRUM 187 3 COMMUTATIVE ALGEBRAS AND FUNCTIONAL CALCULUS 301 4 IDEALS, REPRESENTATIONS AND RADICALS 437 5 APPROXIMATE IDENTITIES AND FACTORIZATION 519 6 AUTOMATIC CONTINUITY 553 7 STRUCTURE SPACES 619 8 ALGEBRAS WITH MINIMAL IDEALS 655 BIBLIOGRAPHY FOR VOLUME I 715 INDEX FOR VOLUME I 783 SYMBOL INDEX FOR VOLUME I 791
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series2 Encyclopedia of mathematics and its applications
spellingShingle Palmer, Theodore W. 1935-
Banach algebras and the general theory of *-algebras
Encyclopedia of mathematics and its applications
title Banach algebras and the general theory of *-algebras
title_auth Banach algebras and the general theory of *-algebras
title_exact_search Banach algebras and the general theory of *-algebras
title_full Banach algebras and the general theory of *-algebras 2 *-algebras Theodore W. Palmer
title_fullStr Banach algebras and the general theory of *-algebras 2 *-algebras Theodore W. Palmer
title_full_unstemmed Banach algebras and the general theory of *-algebras 2 *-algebras Theodore W. Palmer
title_short Banach algebras and the general theory of *-algebras
title_sort banach algebras and the general theory of algebras algebras
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009426412&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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