Verfügbarkeit: Geometry and probability in Banach spaces

Geometry and probability in Banach spaces:

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Bibliographische Detailangaben
Beteilige Person:	Schwartz, Laurent 1915-2002 (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Berlin, [u.a.] Springer 1981
Schriftenreihe:	Lecture notes in mathematics 852
Schlagwörter:	Banach, Espaces de Banach, espaces de Opérateurs linéaires Probabilités Banach spaces Linear operators Probabilities Banach-Raum Wahrscheinlichkeit Geometrie Wahrscheinlichkeitsrechnung
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001489282&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	X, 101 Seiten Illustrationen
ISBN:	354010691X 038710691X

Internformat

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300			\|a X, 101 Seiten \|b Illustrationen
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Datensatz im Suchindex

DE-BY-TUM_call_number	0102 MAT 001z 2001 B 999-852
DE-BY-TUM_katkey	367863
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DE-BY-TUM_media_number	040020151999
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adam_text	Contents I. Introduction 1 Lecture 1. Type and cotype for a Banach space 1 p-summing maps 1 Lecture 2. Pietsch factorization theorem 5 Lecture 3. Completely summing maps 9 Hilbert-Schmidt and nuclear maps 9 Lecture 4. p-integral maps 15 II. Cylindrical Probabilities and Radonifying Maps 18 Lecture 5. Completely summing maps: 6 equivalent properties 20 p-Radonifying maps 20 Lecture 6. Radonification Theorem 25 Lecture 7. p-Gauss laws 29 Lecture 8. proof of the Pietsch conjecture 32 Lecture 9. p-Pietsch spaces 38 Application: Brownian motion 38 Lecture 10 More on cylindrical measures and stochastic processes 42 III. Types and Cotypes 46 Lecture 11. Kahane inequality 47 The case of Lp 47 Z-type 47 Lecture 12. Kahane contraction principle 51 p-Gauss type 51 The Gauss type interval is open 51 X IV. Ultrapowers and Superproperties 56 Lecture 12. Finite representability of F in E 56 Superproperties 57 The "spectrum" of a Banach space 57 Lecture 13. q-factorization, Maurey's theorem 58 Grothendieck factorization theorem 58 Lecture 14. Equivalent properties, summing vs. factorization 61 Lecture 15. Non-existence of (2+e)-Pietsch spaces 67 Ultrapowers 67 Lecture 16. The Pietsch interval 72 The weakest non-trivial superproperty 72 Cotypes, Rademacher vs. Gauss 72 Lecture 17. Gauss-summing maps 78 Grothendieck factorization theorem (a=+°°) 81 TLC and ILL 83 Lecture 18. Super-reflexive spaces 85 Modulus of convexity, q-convexity 85 "Trees" and Kelly-Chatteryji Theorem 85 Enflo Theorem 85 Modulus of smoothness, p-smoothness 85 Properties equivalent to super-reflexivity 85 Lecture 19. Martingale type and cotype 92 Results of Pisier 92 Twelve properties equivalent to super-reflexivity 92 Type for subspaces of Lp (Rosenthal Theorem) 92 A new result of Pisier 98 REFERENCES 99 INDEX 100
any_adam_object	1
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id	DE-604.BV002266361
illustrated	Illustrated
indexdate	2025-01-27T15:01:54Z
institution	BVB
isbn	354010691X 038710691X
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-001489282
oclc_num	7462049
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physical	X, 101 Seiten Illustrationen
publishDate	1981
publishDateSearch	1981
publishDateSort	1981
publisher	Springer
record_format	marc
series	Lecture notes in mathematics
series2	Lecture notes in mathematics
spellingShingle	Schwartz, Laurent 1915-2002 Geometry and probability in Banach spaces Lecture notes in mathematics Banach, Espaces de Banach, espaces de ram Opérateurs linéaires Opérateurs linéaires ram Probabilités Probabilités ram Banach spaces Linear operators Probabilities Banach-Raum (DE-588)4004402-6 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd Geometrie (DE-588)4020236-7 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd
subject_GND	(DE-588)4004402-6 (DE-588)4137007-7 (DE-588)4020236-7 (DE-588)4064324-4
title	Geometry and probability in Banach spaces
title_auth	Geometry and probability in Banach spaces
title_exact_search	Geometry and probability in Banach spaces
title_full	Geometry and probability in Banach spaces Laurent Schwartz, Notes by Paul R. Chernoff
title_fullStr	Geometry and probability in Banach spaces Laurent Schwartz, Notes by Paul R. Chernoff
title_full_unstemmed	Geometry and probability in Banach spaces Laurent Schwartz, Notes by Paul R. Chernoff
title_short	Geometry and probability in Banach spaces
title_sort	geometry and probability in banach spaces
topic	Banach, Espaces de Banach, espaces de ram Opérateurs linéaires Opérateurs linéaires ram Probabilités Probabilités ram Banach spaces Linear operators Probabilities Banach-Raum (DE-588)4004402-6 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd Geometrie (DE-588)4020236-7 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd
topic_facet	Banach, Espaces de Banach, espaces de Opérateurs linéaires Probabilités Banach spaces Linear operators Probabilities Banach-Raum Wahrscheinlichkeit Geometrie Wahrscheinlichkeitsrechnung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001489282&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000676446
work_keys_str_mv	AT schwartzlaurent geometryandprobabilityinbanachspaces

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