Higher moments of Banach space valued random variables:
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Main Authors: | , |
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Format: | Book |
Language: | English |
Published: |
Providence, RI
American Math. Soc.
2015
|
Series: | Memoirs of the American Mathematical Society
1127 |
Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028629446&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
Item Description: | "Volume 238, number 1127 (fifth of 6 numbers), November 2015." |
Physical Description: | VII, 110 S. |
ISBN: | 9781470414658 |
Staff View
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Record in the Search Index
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adam_text | Contents
Chapter 1. Introduction 1
Chapter 2. Preliminaries 5
2.1. Notations 5
2.2. Measurability 6
2.3. Tensor products of Banach spaces 8
2.4. Vector-valued integration 12
Chapter 3. Moments of Banach space valued random variables 19
3.1. Moments 19
3.2. Examples 27
Chapter 4. The approximation property 31
Chapter 5. Hilbert spaces 37
Chapter 6. Lp(/i) 45
Chapter 7. C{K) 49
Chapter 8. Co(S) 63
Chapter 9. £ [0,1] 67
9.1. Z [0,1] as a Banach space 67
9.2. D[0,1] as a Banach algebra 68
9.3. Measurability and random variables in D[0,1] 71
9.4. Moments of D[0,1]-valued random variables 77
Chapter 10. Uniqueness and Convergence 85
10.1. Uniqueness 85
10.2. Convergence 86
Appendix A. The Reproducing Hilbert Space 95
Appendix B. The Zolotarev Distances 101
B.l. FV^chet differentiabiity 101
B.2. Zolotarev distances 103
Bibliography
107
|
any_adam_object | 1 |
author | Janson, Svante 1955- Kaijser, Sten |
author_GND | (DE-588)139272658 |
author_facet | Janson, Svante 1955- Kaijser, Sten |
author_role | aut aut |
author_sort | Janson, Svante 1955- |
author_variant | s j sj s k sk |
building | Verbundindex |
bvnumber | BV043206238 |
ctrlnum | (OCoLC)932587983 (DE-599)BVBBV043206238 |
dewey-full | 515/.732 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515/.732 |
dewey-search | 515/.732 |
dewey-sort | 3515 3732 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV043206238 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T17:31:08Z |
institution | BVB |
isbn | 9781470414658 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028629446 |
oclc_num | 932587983 |
open_access_boolean | |
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owner_facet | DE-355 DE-BY-UBR DE-29T DE-83 DE-11 |
physical | VII, 110 S. |
publishDate | 2015 |
publishDateSearch | 2015 |
publishDateSort | 2015 |
publisher | American Math. Soc. |
record_format | marc |
series | Memoirs of the American Mathematical Society |
series2 | Memoirs of the American Mathematical Society |
spellingShingle | Janson, Svante 1955- Kaijser, Sten Higher moments of Banach space valued random variables Memoirs of the American Mathematical Society |
title | Higher moments of Banach space valued random variables |
title_auth | Higher moments of Banach space valued random variables |
title_exact_search | Higher moments of Banach space valued random variables |
title_full | Higher moments of Banach space valued random variables Svante Janson, Sten Kaijser |
title_fullStr | Higher moments of Banach space valued random variables Svante Janson, Sten Kaijser |
title_full_unstemmed | Higher moments of Banach space valued random variables Svante Janson, Sten Kaijser |
title_short | Higher moments of Banach space valued random variables |
title_sort | higher moments of banach space valued random variables |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028629446&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV008000141 |
work_keys_str_mv | AT jansonsvante highermomentsofbanachspacevaluedrandomvariables AT kaijsersten highermomentsofbanachspacevaluedrandomvariables |