Smooth homogeneous structures in operator theory:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Boca Raton [u.a.]
Chapman & Hall/CRC
2006
|
| Schriftenreihe: | Monographs and surveys in pure and applied mathematics
137 |
| Schlagwörter: | |
| Links: | 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 |
| Umfang: | XV, 302 S. |
| ISBN: | 158488617X 9781584886174 |
Internformat
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Datensatz im Suchindex
| _version_ | 1819322609989320704 |
|---|---|
| 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
|
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| id | DE-604.BV022397557 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T12:54:29Z |
| institution | BVB |
| isbn | 158488617X 9781584886174 |
| language | English |
| lccn | 2005051891 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015606272 |
| oclc_num | 62225769 |
| open_access_boolean | |
| owner | DE-824 |
| owner_facet | DE-824 |
| physical | XV, 302 S. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Chapman & Hall/CRC |
| record_format | marc |
| series | Monographs and surveys in pure and applied mathematics |
| series2 | Monographs and surveys in pure and applied mathematics |
| 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_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 |
| volume_link | (DE-604)BV013350872 |
| work_keys_str_mv | AT beltitadaniel smoothhomogeneousstructuresinoperatortheory |