Lebesgue theory in the bidual of C(X):
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
1996
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
579 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 121, Number 579 (third of 4 numbers) |
| Physical Description: | VII, 127 S. |
| ISBN: | 0821804634 |
Staff View
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Record in the Search Index
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| adam_text | CONTENTS
Introduction 1
§1 Preliminaries 3
Chapter 1 2°°
§2. The upper and lower envelopes of an element 8
§3. The boundary of an element 18
§4. The integrable elements 22
§5. The negligible elements 24
§6. The /j integrable elements 26
Chapter 2 Convergence
§7 Almost everywhere order convergence 31
§8 Unbounded order convergence 43
§9 Almost everywhere unbounded order convergence 46
§10 The Dieudonne topology 49
§11 Convergence in Measure 52
§12 Sequences in 2°° 58
Chapter 3 Some classical theorems
§13 Elementary theorems 63
§14 The Egorov Theorem 67
§15 The Lusin Theorem 72
vi CONTENTS
Chapter 4 The Projection of C onto Cg
§16 The star elements 75
§17 2°° and the star elements 85
§18 2^° 89
§19 Convergence in C£ 91
§20 Back to 2£° 100
Chapter 5 Lebesgue Theory in C^
§21 J*fd/*, J+fd/x 108
§22 Jfd/i 115
§23 The classical theorems 119
References 124
Index of Terminology 125
Index of Symbols 126
|
| any_adam_object | 1 |
| author | Kaplan, Samuel 1916- |
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| bvnumber | BV010788016 |
| classification_rvk | SI 130 |
| ctrlnum | (OCoLC)246281741 (DE-599)BVBBV010788016 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010788016 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:58:54Z |
| institution | BVB |
| isbn | 0821804634 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007206353 |
| oclc_num | 246281741 |
| open_access_boolean | |
| owner | DE-824 DE-355 DE-BY-UBR DE-12 DE-384 DE-739 DE-29T DE-91G DE-BY-TUM DE-83 DE-188 |
| owner_facet | DE-824 DE-355 DE-BY-UBR DE-12 DE-384 DE-739 DE-29T DE-91G DE-BY-TUM DE-83 DE-188 |
| physical | VII, 127 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Kaplan, Samuel 1916- Verfasser (DE-588)1082551465 aut Lebesgue theory in the bidual of C(X) Samuel Kaplan Providence, RI American Math. Soc. 1996 VII, 127 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 579 Volume 121, Number 579 (third of 4 numbers) Banach-Verband (DE-588)4273753-9 gnd rswk-swf Lebesgue-Integral (DE-588)4034949-4 gnd rswk-swf Radon-Maß (DE-588)4242168-8 gnd rswk-swf Lebesgue-Integral (DE-588)4034949-4 s DE-604 Radon-Maß (DE-588)4242168-8 s Banach-Verband (DE-588)4273753-9 s American Mathematical Society: Memoirs of the American Mathematical Society 579 (DE-604)BV008000141 579 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007206353&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kaplan, Samuel 1916- Lebesgue theory in the bidual of C(X) American Mathematical Society: Memoirs of the American Mathematical Society Banach-Verband (DE-588)4273753-9 gnd Lebesgue-Integral (DE-588)4034949-4 gnd Radon-Maß (DE-588)4242168-8 gnd |
| subject_GND | (DE-588)4273753-9 (DE-588)4034949-4 (DE-588)4242168-8 |
| title | Lebesgue theory in the bidual of C(X) |
| title_auth | Lebesgue theory in the bidual of C(X) |
| title_exact_search | Lebesgue theory in the bidual of C(X) |
| title_full | Lebesgue theory in the bidual of C(X) Samuel Kaplan |
| title_fullStr | Lebesgue theory in the bidual of C(X) Samuel Kaplan |
| title_full_unstemmed | Lebesgue theory in the bidual of C(X) Samuel Kaplan |
| title_short | Lebesgue theory in the bidual of C(X) |
| title_sort | lebesgue theory in the bidual of c x |
| topic | Banach-Verband (DE-588)4273753-9 gnd Lebesgue-Integral (DE-588)4034949-4 gnd Radon-Maß (DE-588)4242168-8 gnd |
| topic_facet | Banach-Verband Lebesgue-Integral Radon-Maß |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007206353&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT kaplansamuel lebesguetheoryinthebidualofcx |