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Lipschitz algebras:

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Bibliographic Details
Main Author:	Weaver, Nik 1969- (Author)
Format:	Book
Language:	English
Published:	Singapore [u.a.] World Scientific 1999
Subjects:	Lipschitz spaces Lipschitz-Raum
Online Access:	Inhaltsverzeichnis
Physical Description:	XIII, 223 S. Ill., graph. Darst.
ISBN:	9810238738

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MARC


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Record in the Search Index

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adam_text	IMAGE 1 LIPSCHITZ ALGEBRAS NIK WEAVER DEPARTMENT OF MATHEMATICS WASHINGTON CLNIVERSITY USA UB% WORLD SCIENTIFIC * SINQAPORE* NEW JERSEY L SINGAPORE »NEW JERSEY LONDON HONG KONG IMAGE 2 CONTENTS PREFACE VII CHAPTER 1 LIPSCHITZ SPACES 1 1.1 METRIE SPACES 1 1.2 LIPSCHITZ FUNETIONS 3 1.3 PRODUCTS OF METRIC SPACES 6 1.4 QUOTIENTS OF METRIC SPACES 9 1.5 SCALAR-VALUED LIPSCHITZ FUNETIONS 13 1.6 LIPSCHITZ SPACES 19 1.7 LIP AND LIP 0 . . 24 1.8 COMPOSITION MAPS 28 1.9 NOTES 30 CHAPTER 2 THE PREDUAL 33 2.1 DE LEEUW S MAP 33 2.2 THE ARENS-EELLS SPACE 38 2.3 THE MASS TRANSFER PROBLEM 43 2.4 WEAK* EXTREME POINTS (EXISTENCE) 49 2.5 WEAK* EXTREME POINTS (CHARACTERIZATION) 54 2.6 ISOMETRIES OF LIP SPACES 61 2.7 ISOMETRIES OF LIP 0 SPACES 67 2.8 NOTES 70 CHAPTER 3 LITTLE LIPSCHITZ SPACES 73 3.1 LIP 0 (X) 73 XI IMAGE 3 XII CONTENTS 3.2 EXTENSIONS OF LITTLE LIPSCHITZ FUNCTIONS 77 3.3 DOUBLE DUALITY 82 3.4 CUBES IN R N 86 3.5 COMPACT SUBSETS OF H N 92 3.6 NOTES 99 CHAPTER 4 LIPSCHITZ ALGEBRAS 101 4.1 ORDER COMPLETE SUBALGEBRAS 101 4.2 ORDER COMPLETE IDEALS 107 4.3 CARRIER SPACES 112 4.4 LITTLE LIPSCHITZ SUBALGEBRAS 117 4.5 LITTLE LIPSCHITZ IDEALS 123 4.6 NORM CLOSED IDEALS 125 4.7 POINT DERIVATIONS 128 4.8 SPECTRAL SYNTHESIS 130 4.9 NOTES 136 CHAPTER 5 LIPSCHITZ LATTICES 137 5.1 STONE LATTICES 137 5.2 COMPLETELY DISTRIBUTIVE LATTICES 140 5.3 RANEY S THEOREM 143 5.4 LIP(X) AS A VECTOR LATTICE 146 5.5 LIPSCHITZ LATTICES, I 150 5.6 LIPSCHITZ LATTICES, II 153 5.7 NOTES 159 CHAPTER 6 MEASURABLE LIPSCHITZ ALGEBRAS 161 6.1 MEASURABLE METRICS 161 6.2 LIP(X,JU), I 168 6.3 LIP(X, FI), II 176 6.4 MEASURABLE LIPSCHITZ LATTICES 181 6.5 NOTES 187 CHAPTER 7 DERIVATIONS 189 7.1 EXAMPLES 189 7.2 THE DERIVATION THEOREM 197 7.3 THE EXTERIOR DERIVATIVE 201 7.4 NONCOMMUTATIVE METRICS 206 IMAGE 4 CONTENTS XIII 7.5 NOTES 210 TABLE OF SYMBOLS 213 BIBLIOGRAPHY 215 INDEX 221
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discipline	Mathematik
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id	DE-604.BV014855508
illustrated	Illustrated
indexdate	2024-07-09T19:08:01Z
institution	BVB
isbn	9810238738
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-010047665
oclc_num	246305479
open_access_boolean
owner	DE-824 DE-11 DE-188
owner_facet	DE-824 DE-11 DE-188
physical	XIII, 223 S. Ill., graph. Darst.
publishDate	1999
publishDateSearch	1999
publishDateSort	1999
publisher	World Scientific
record_format	marc
spelling	Weaver, Nik 1969- Verfasser (DE-588)1029493642 aut Lipschitz algebras Nik Weaver Singapore [u.a.] World Scientific 1999 XIII, 223 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lipschitz spaces Lipschitz-Raum Lipschitz-Raum (DE-588)4431681-1 gnd rswk-swf Lipschitz-Raum (DE-588)4431681-1 s 1\p DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010047665&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Weaver, Nik 1969- Lipschitz algebras Lipschitz spaces Lipschitz-Raum Lipschitz-Raum (DE-588)4431681-1 gnd
subject_GND	(DE-588)4431681-1
title	Lipschitz algebras
title_auth	Lipschitz algebras
title_exact_search	Lipschitz algebras
title_full	Lipschitz algebras Nik Weaver
title_fullStr	Lipschitz algebras Nik Weaver
title_full_unstemmed	Lipschitz algebras Nik Weaver
title_short	Lipschitz algebras
title_sort	lipschitz algebras
topic	Lipschitz spaces Lipschitz-Raum Lipschitz-Raum (DE-588)4431681-1 gnd
topic_facet	Lipschitz spaces Lipschitz-Raum
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010047665&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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