Verfügbarkeit: Smooth homogeneous structures in operator theory

Smooth homogeneous structures in operator theory:

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Bibliographische Detailangaben
1. Verfasser:	Beltiţă, Daniel (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Boca Raton [u.a.] Chapman & Hall/CRC 2006
Schriftenreihe:	Monographs and surveys in pure and applied mathematics 137
Schlagworte:	Funktionalanalysis Homogener Raum Lie-Algebra Operator theory Homogeneous spaces
Online-Zugang:	Publisher description Inhaltsverzeichnis
Beschreibung:	XV, 302 S.
ISBN:	158488617X 9781584886174

Internformat

MARC


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Datensatz im Suchindex

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adam_text	K CHAPMAN & HALL/CRC MONOGRAPHS AND SURVEYS IN PURE AND APPLIED MATHEMATICS I 37 SMOOTH HOMOGENEOUS STRUCTURES IN OPERATOR THEORY DANIEL BELTI^A CHAPMAN & HALL/CRC TAYLOR SI FRANCIS GROUP BOCA RATON LONDON NEW YORK SINGAPORE CONTENTS PREFACE VII INTRODUCTION XI 1 TOPOLOGICAL LIE ALGEBRAS 3 1.1 FUNDAMENTALS 3 1.2 UNIVERSAL ENVELOPING ALGEBRAS 6 1.3 THE BAKER-CAMPBELL-HAUSDORFF SERIES 9 1.4 CONVERGENCE OF THE BAKER-CAMPBELL-HAUSDORFF SERIES 19 NOTES 24 2 LIE GROUPS AND THEIR LIE ALGEBRAS 25 2.1 DEFINITION OF LIE GROUPS 25 2.2 THE LIE ALGEBRA OF A LIE GROUP 30 2.3 LOGARITHMIC DERIVATIVES 37 2.4 THE EXPONENTIAL MAP 39 2.5 SPECIAL FEATURES OF BANACH-LIE GROUPS 43 NOTES 54 3 ENLARGIBILITY 55 3.1 INTEGRATING LIE ALGEBRA HOMOMORPHISMS 55 3.2 TOPOLOGICAL PROPERTIES OF CERTAIN LIE GROUPS 64 3.3 ENLARGIBLE LIE ALGEBRAS 74 NOTES 76 4 SMOOTH HOMOGENEOUS SPACES 79 4.1 BASIC FACTS ON SMOOTH HOMOGENEOUS SPACES 79 4.2 SYMPLECTIC HOMOGENEOUS SPACES 92 4.3 SOME HOMOGENEOUS SPACES RELATED TO OPERATOR ALGEBRAS ... 98 NOTES . 102 5 QUASIMULTIPLICATIVE MAPS 105 5.1 SUPPORTS, CONVOLUTION, AND QUASIMULTIPLICATIVITY 105 5.2 SEPARATE PARTS OF SUPPORTS 110 5.3 HERMITIAN MAPS 121 NOTES 125 VI SMOOTH HOMOGENEOUS STRUCTURES IN OPERATOR THEORY 6 COMPLEX STRUCTURES ON HOMOGENEOUS SPACES 127 6.1 GENERAL RESULTS 127 6.2 PSEUDO-KAHLER MANIFOLDS 132 6.3 FLAG MANIFOLDS IN BANACH ALGEBRAS 137 NOTES 143 7 EQUIVARIANT MONOTONE OPERATORS 147 7.1 DEFINITION OF EQUIVARIANT MONOTONE OPERATORS 147 7.2 H-ALGEBRAS AND L-ALGEBRAS 151 7.3 EQUIVARIANT MONOTONE OPERATORS AS REPRODUCING KERNELS . . . 157 7.4 H-IDEALS OF H-ALGEBRAS 163 7.5 ELEMENTARY PROPERTIES OF H-IDEALS 167 NOTES 169 8 L-IDEALS AND EQUIVARIANT MONOTONE OPERATORS 171 8.1 FROM IDEALS TO OPERATORS 171 8.2 FROM OPERATORS TO IDEALS 174 8.3 PARAMETERIZING L*-IDEALS 183 8.4 REPRESENTATIONS OF AUTOMORPHISM GROUPS 189 8.5 APPLICATIONS TO ENLARGIBILITY 191 NOTES 193 ,9 HOMOGENEOUS SPACES OF PSEUDO-RESTRICTED GROUPS 195 9.1 PSEUDO-RESTRICTED ALGEBRAS AND GROUPS 195 9.2 COMPLEX POLARIZATIONS 204 9.3 KAHLER POLARIZATIONS 207 9.4 ADMISSIBLE PAIRS OF OPERATOR IDEALS 213 9.5 SOME KAHLER HOMOGENEOUS SPACES 218 NOTES . 224 A DIFFERENTIAL CALCULUS AND SMOOTH MANIFOLDS 227 A.I LOCALLY CONVEX SPACES AND ALGEBRAS 227 A.2 DIFFERENTIAL CALCULUS AND INFINITE-DIMENSIONAL HOLOMORPHY . . 234 A.3 SMOOTH MANIFOLDS 242 B BASIC DIFFERENTIAL EQUATIONS OF LIE THEORY 255 C TOPOLOGICAL GROUPS 271 REFERENCES 281 INDEX 300
adam_txt	K CHAPMAN & HALL/CRC MONOGRAPHS AND SURVEYS IN PURE AND APPLIED MATHEMATICS I 37 SMOOTH HOMOGENEOUS STRUCTURES IN OPERATOR THEORY DANIEL BELTI^A CHAPMAN & HALL/CRC TAYLOR SI FRANCIS GROUP BOCA RATON LONDON NEW YORK SINGAPORE CONTENTS PREFACE VII INTRODUCTION XI 1 TOPOLOGICAL LIE ALGEBRAS 3 1.1 FUNDAMENTALS 3 1.2 UNIVERSAL ENVELOPING ALGEBRAS 6 1.3 THE BAKER-CAMPBELL-HAUSDORFF SERIES 9 1.4 CONVERGENCE OF THE BAKER-CAMPBELL-HAUSDORFF SERIES 19 NOTES 24 2 LIE GROUPS AND THEIR LIE ALGEBRAS 25 2.1 DEFINITION OF LIE GROUPS 25 2.2 THE LIE ALGEBRA OF A LIE GROUP 30 2.3 LOGARITHMIC DERIVATIVES 37 2.4 THE EXPONENTIAL MAP 39 2.5 SPECIAL FEATURES OF BANACH-LIE GROUPS 43 NOTES 54 3 ENLARGIBILITY 55 3.1 INTEGRATING LIE ALGEBRA HOMOMORPHISMS 55 3.2 TOPOLOGICAL PROPERTIES OF CERTAIN LIE GROUPS 64 3.3 ENLARGIBLE LIE ALGEBRAS 74 NOTES 76 4 SMOOTH HOMOGENEOUS SPACES 79 4.1 BASIC FACTS ON SMOOTH HOMOGENEOUS SPACES 79 4.2 SYMPLECTIC HOMOGENEOUS SPACES 92 4.3 SOME HOMOGENEOUS SPACES RELATED TO OPERATOR ALGEBRAS . 98 NOTES . 102 5 QUASIMULTIPLICATIVE MAPS 105 5.1 SUPPORTS, CONVOLUTION, AND QUASIMULTIPLICATIVITY 105 5.2 SEPARATE PARTS OF SUPPORTS 110 5.3 HERMITIAN MAPS 121 NOTES 125 VI SMOOTH HOMOGENEOUS STRUCTURES IN OPERATOR THEORY 6 COMPLEX STRUCTURES ON HOMOGENEOUS SPACES 127 6.1 GENERAL RESULTS 127 6.2 PSEUDO-KAHLER MANIFOLDS 132 6.3 FLAG MANIFOLDS IN BANACH ALGEBRAS 137 NOTES 143 7 EQUIVARIANT MONOTONE OPERATORS 147 7.1 DEFINITION OF EQUIVARIANT MONOTONE OPERATORS 147 7.2 H-ALGEBRAS AND L-ALGEBRAS 151 7.3 EQUIVARIANT MONOTONE OPERATORS AS REPRODUCING KERNELS . . . 157 7.4 H-IDEALS OF H-ALGEBRAS 163 7.5 ELEMENTARY PROPERTIES OF H-IDEALS 167 NOTES 169 8 L-IDEALS AND EQUIVARIANT MONOTONE OPERATORS 171 8.1 FROM IDEALS TO OPERATORS 171 8.2 FROM OPERATORS TO IDEALS 174 8.3 PARAMETERIZING L*-IDEALS 183 8.4 REPRESENTATIONS OF AUTOMORPHISM GROUPS 189 8.5 APPLICATIONS TO ENLARGIBILITY 191 NOTES 193 ,9 HOMOGENEOUS SPACES OF PSEUDO-RESTRICTED GROUPS 195 9.1 PSEUDO-RESTRICTED ALGEBRAS AND GROUPS 195 9.2 COMPLEX POLARIZATIONS 204 9.3 KAHLER POLARIZATIONS 207 9.4 ADMISSIBLE PAIRS OF OPERATOR IDEALS 213 9.5 SOME KAHLER HOMOGENEOUS SPACES 218 NOTES . 224 A DIFFERENTIAL CALCULUS AND SMOOTH MANIFOLDS 227 A.I LOCALLY CONVEX SPACES AND ALGEBRAS 227 A.2 DIFFERENTIAL CALCULUS AND INFINITE-DIMENSIONAL HOLOMORPHY . . 234 A.3 SMOOTH MANIFOLDS 242 B BASIC DIFFERENTIAL EQUATIONS OF LIE THEORY 255 C TOPOLOGICAL GROUPS 271 REFERENCES 281 INDEX 300
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spelling	Beltiţă, Daniel Verfasser aut Smooth homogeneous structures in operator theory by Daniel Beltiţă Boca Raton [u.a.] Chapman & Hall/CRC 2006 XV, 302 S. txt rdacontent n rdamedia nc rdacarrier Monographs and surveys in pure and applied mathematics 137 Funktionalanalysis swd Homogener Raum swd Lie-Algebra swd Operator theory Homogeneous spaces Monographs and surveys in pure and applied mathematics 137 (DE-604)BV013350872 137 http://www.loc.gov/catdir/enhancements/fy0653/2005051891-d.html Publisher description GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015606272&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Beltiţă, Daniel Smooth homogeneous structures in operator theory Monographs and surveys in pure and applied mathematics Funktionalanalysis swd Homogener Raum swd Lie-Algebra swd Operator theory Homogeneous spaces
title	Smooth homogeneous structures in operator theory
title_auth	Smooth homogeneous structures in operator theory
title_exact_search	Smooth homogeneous structures in operator theory
title_exact_search_txtP	Smooth homogeneous structures in operator theory
title_full	Smooth homogeneous structures in operator theory by Daniel Beltiţă
title_fullStr	Smooth homogeneous structures in operator theory by Daniel Beltiţă
title_full_unstemmed	Smooth homogeneous structures in operator theory by Daniel Beltiţă
title_short	Smooth homogeneous structures in operator theory
title_sort	smooth homogeneous structures in operator theory
topic	Funktionalanalysis swd Homogener Raum swd Lie-Algebra swd Operator theory Homogeneous spaces
topic_facet	Funktionalanalysis Homogener Raum Lie-Algebra Operator theory Homogeneous spaces
url	http://www.loc.gov/catdir/enhancements/fy0653/2005051891-d.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015606272&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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work_keys_str_mv	AT beltitadaniel smoothhomogeneousstructuresinoperatortheory

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