Verfügbarkeit: Banach symmetric spaces | Technische Universität München

Banach symmetric spaces: = (Banach-symmetrische Räume)

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Bibliographische Detailangaben
Beteilige Person:	Klotz, Michael (VerfasserIn)
Format:	Hochschulschrift/Dissertation Buch
Sprache:	Englisch
Veröffentlicht:	2011
Schlagwörter:	Hochschulschrift
Links:	https://open.fau.de/handle/openfau/1617 https://nbn-resolving.org/urn:nbn:de:bvb:29-opus-23616 http://d-nb.info/1010729284/34 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021214153&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XVIII, 154 S. graph. Darst. 30 cm

Internformat

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Datensatz im Suchindex

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adam_text	IMAGE 1 BANACH SYMMETRIC SPACES (BANACH-SYMMETRISCHE RAEUME) DER NATURWISSENSCHAFTLICHEN FAKULTAET DER FRIEDRICH-ALEXANDER-UNIVERSITAET ERLANGEN-NUERNBERG ZUR ERLANGUNG DES DOKTORGRADES VORGELEGT VON DIPL.-MATH. MICHAEL KLOTZ AUS FRANKFURT AM MAIN BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1010453343 DIGITALISIERT DURCH IMAGE 2 CONTENTS I. AFFINE BANACH MANIFOLDS I 1. THE AUTOMORPHISM GROUP OF A BANACH PRINCIPAL BUNDLE WITH {L}-STRUCTURE 3 1.1. INTRODUCTION 3 1.2. BASIC CONCEPTS 4 1.3. THE BANACH-LIE ALGEBRA OF THE INFINITESIMAL AUTOMORPHISMS 6 1.4. PROOF OF THE MAIN THEOREM 9 2. THE AUTOMORPHISM GROUP OF AN AFFINE BANACH MANIFOLD 13 2.1. AFFINE CONNECTIONS ON THE TANGENT BUNDLE 13 2.2. THE FRAME BUNDLE OF AN AFFINE BANACH MANIFOLD 16 2.3. AFFINE MAPS 19 2.4. INFINITESIMAL AFFINE AUTOMORPHISMS 20 2.5. THE AUTOMORPHISM GROUP OF A GEODESICALLY COMPLETE AFFINE MANIFOLD . . .. 25 3. LOCAL INTEGRATION OF MAPS BETWEEN TANGENT SPACES TO AFFINE MAPS 27 3.1. TORSION AND CURVATURE TENSOR 27 3.2. EXTERIOR DERIVATIVES AND WEDGE PRODUCTS 28 3.3. STRUCTURE EQUATIONS 29 3.4. AFFINE MAPS BETWEEN NORMAL NEIGHBORHOODS 35 4. INTEGRATION OF MAPS BETWEEN TANGENT SPACES TO AFFINE MAPS 41 4 . 1. PIECEWISE GEODESIES 41 4.2. T HE I M A G ES OF PIECEWISE GEODESIES U N D ER M A PS B E T W E EN T A N G E NT SPACES . .. 44 4 . 3. I N T E G R A T I ON OF M A PS B E T W E EN T A N G E NT SPACES 45 II. BANACH SYMMETRIC SPACES 51 5. BANACH SYMMETRIC SPACES I 53 5.1. REFLECTION SPACES 53 5.2. BANACH SYMMETRIC SPACES 57 5.3. BANACH-LIE TRIPLE SYSTEMS AND SYMMETRIC BANACH-LIE ALGEBRAS 61 5.4. THE LIE TRIPLE SYSTEM OF A POINTED SYMMETRIC SPACE 66 5.5. THE CANONICAL AFFINE CONNECTION OF A SYMMETRIC SPACE 66 5.6. INTEGRATION OF MORPHISMS OF LIE TRIPLE SYSTEMS 71 5.7. THE AUTOMORPHISM GROUP OF A SYMMETRIC SPACE 72 6. SYMMETRIC BANACH-LIE GROUPS 75 XVII IMAGE 3 6.1. SYMMETRIE BANACH-LIE GROUPS AND SYMMETRIE PAIRS 75 6.2. COVERING MORPHISMS OF SYMMETRIC LIE GROUPS 79 6.3. PATH AND LOOP GROUP 80 6.4. THE PERIOD MORPHISM OF A SYMMETRIC LIE ALGEBRA 81 7. BANACH SYMMETRIC SPACES II 87 7.1. REFLECTION SUBSPACES OF SYMMETRIC SPACES 87 7.2. THE GROUP OF DISPLACEMENTS 97 7.3. COVERING MORPHISMS OF SYMMETRIC SPACES 98 7.4. PATH AND LOOP SPACE OF A POINTED SYMMETRIC SPACE 103 7.5. QUOTIENTS OF SYMMETRIC SPACES 107 7.6. INTEGRABILITY OF LIE TRIPLE SYSTEMS 117 A. APPENDIX: SMOOTH BANACH MANIFOLDS AND BANACH-LIE GROUPS 139 BIBLIOGRAPHY 141 INDEX OF NOTATIONS 145 INDEX OF TERMS 149 XVM
any_adam_object	1
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indexdate	2024-12-20T14:48:48Z
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spellingShingle	Klotz, Michael Banach symmetric spaces = (Banach-symmetrische Räume)
subject_GND	(DE-588)4113937-9
title	Banach symmetric spaces = (Banach-symmetrische Räume)
title_alt	(Banach-symmetrische Räume)
title_auth	Banach symmetric spaces = (Banach-symmetrische Räume)
title_exact_search	Banach symmetric spaces = (Banach-symmetrische Räume)
title_full	Banach symmetric spaces = (Banach-symmetrische Räume) vorgelegt von Michael Klotz
title_fullStr	Banach symmetric spaces = (Banach-symmetrische Räume) vorgelegt von Michael Klotz
title_full_unstemmed	Banach symmetric spaces = (Banach-symmetrische Räume) vorgelegt von Michael Klotz
title_short	Banach symmetric spaces
title_sort	banach symmetric spaces banach symmetrische raume
title_sub	= (Banach-symmetrische Räume)
topic_facet	Hochschulschrift
url	https://open.fau.de/handle/openfau/1617 https://nbn-resolving.org/urn:nbn:de:bvb:29-opus-23616 http://d-nb.info/1010729284/34 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021214153&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT klotzmichael banachsymmetricspacesbanachsymmetrischeraume AT klotzmichael banachsymmetrischeraume

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