Spaces of measures:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; New York
Walter de Gruyter
1984
|
| Series: | De Gruyter studies in mathematics
4 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 444 Seiten |
| ISBN: | 3110087847 9783110853995 |
Staff View
MARC
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| 100 | 1 | |a Constantinescu, Corneliu |d 1929- |0 (DE-588)1025191870 |4 aut | |
| 245 | 1 | 0 | |a Spaces of measures |c Corneliu Constantinescu |
| 264 | 1 | |a Berlin ; New York |b Walter de Gruyter |c 1984 | |
| 300 | |a 444 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a De Gruyter studies in mathematics |v 4 | |
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| 650 | 4 | |a Espaces de mesures | |
| 650 | 7 | |a Lineaire functionalen |2 gtt | |
| 650 | 7 | |a Maattheorie |2 gtt | |
| 650 | 7 | |a Théorème Nikodym |2 Jussieu | |
| 650 | 7 | |a Théorème Orlicz-Pettis |2 Jussieu | |
| 650 | 7 | |a Théorème Phillips |2 Jussieu | |
| 650 | 7 | |a Théorème Vitali-Hahn-Saks |2 Jussieu | |
| 650 | 7 | |a Topologie générale |2 Jussieu | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-000218018 | ||
Record in the Search Index
| _version_ | 1804114817736245248 |
|---|---|
| adam_text | Contents
Introduction 9
Logical connections between sections 12
Notations and Terminology 13
1. Set theory 13
2. Order relations 13
3. Topological spaces 14
4. Uniform spaces 14
Chapter I: Topological preliminaries
§ I.I Sets of filters 17
§ 1.2 Sets of filters on topological and uniform spaces 19
§ 1.3 (^ continuous and uniformly f continuous maps 22
§ 1.4 Filters defined by sets of sequences 25
§ 1.5 Sets of sequences on topological and uniform spaces 31
§ 1.6 5 stable filters 42
§ 1.7 Mioritic spaces 43
§ 1.8 ^ continuous and uniformly £ , continuous maps 46
Chapter 2: Spaces of functions
§ 2.1 Uniformities on spaces of functions 53
§ 2.2 Uniformities on spaces of functions defined by sets of sequences 67
§ 2.3 Smulian spaces 75
§ 2.4 Constructions with spaces of functions 85
§ 2.5 Spaces of parametrized functions 87
Chapter 3: Spaces of supersummable families
§ 3.1 The set V(I, G) 1 1
§ 3.2 Structures on tf (A G) 95
§ 3.3 Spaces of supersummable families 102
§ 3.4 Spaces of supersummable families of functions 123
§ 3.5 Supersummable families in special spaces 130
8 Contents
Chapter 4: Spaces of measures
§ 4.1 Measures and exhaustive maps 155
§ 4.2 Spaces of measures and of exhaustive additive maps 186
§ 4.3 Vitali Hahn Saks theorem and Phillips lemma 199
§ 4.4 Weak topologies on spaces of measures 210
§ 4.5 Spaces of measures on topological spaces 223
§ 4.6 Measures with parameter 240
§ 4.7 Bounded sets 244
§ 4.8 Bounded sets and measures on topological spaces 255
§ 4.9 Spaces of integrals 263
§ 4.10 Supersummable families of functions and their integrals 273
§ 4.11 Measurability considerations 280
Chapter 5: Locally convex lattices
§ 5.1 Order summable families 289
§ 5.2 Order continuous maps 304
§ 5.3 Spaces of order continuous group homomorphisms 315
§ 5.4 Vector lattices 321
§ 5.5 Duals of vector lattices 325
§ 5.6 Spaces of vector valued measures 341
§ 5.7 Quasi M spaces 361
§ 5.8 M spaces 386
§ 5.9 Strict M spaces 405
References 429
Index 439
Notations 443
|
| any_adam_object | 1 |
| author | Constantinescu, Corneliu 1929- |
| author_GND | (DE-588)1025191870 |
| author_facet | Constantinescu, Corneliu 1929- |
| author_role | aut |
| author_sort | Constantinescu, Corneliu 1929- |
| author_variant | c c cc |
| building | Verbundindex |
| bvnumber | BV000350676 |
| callnumber-first | Q - Science |
| callnumber-label | QA312 |
| callnumber-raw | QA312 |
| callnumber-search | QA312 |
| callnumber-sort | QA 3312 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 430 SK 600 |
| classification_tum | MAT 285f MAT 464f |
| ctrlnum | (OCoLC)10697246 (DE-599)BVBBV000350676 |
| dewey-full | 515.4/2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.4/2 |
| dewey-search | 515.4/2 |
| dewey-sort | 3515.4 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV000350676 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:12:45Z |
| institution | BVB |
| isbn | 3110087847 9783110853995 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000218018 |
| oclc_num | 10697246 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-634 DE-11 DE-188 DE-83 |
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| physical | 444 Seiten |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | Walter de Gruyter |
| record_format | marc |
| series | De Gruyter studies in mathematics |
| series2 | De Gruyter studies in mathematics |
| spelling | Constantinescu, Corneliu 1929- (DE-588)1025191870 aut Spaces of measures Corneliu Constantinescu Berlin ; New York Walter de Gruyter 1984 444 Seiten txt rdacontent n rdamedia nc rdacarrier De Gruyter studies in mathematics 4 Calcul intégral ram Espace mesure Jussieu Espace vectoriel ordonné Jussieu Espaces de mesures Lineaire functionalen gtt Maattheorie gtt Théorème Nikodym Jussieu Théorème Orlicz-Pettis Jussieu Théorème Phillips Jussieu Théorème Vitali-Hahn-Saks Jussieu Topologie générale Jussieu Spaces of measures Maßtheorie (DE-588)4074626-4 gnd rswk-swf Maßraum (DE-588)4169057-6 gnd rswk-swf Integrationstheorie (DE-588)4138369-2 gnd rswk-swf Maßraum (DE-588)4169057-6 s DE-604 Integrationstheorie (DE-588)4138369-2 s Maßtheorie (DE-588)4074626-4 s Erscheint auch als Online-Ausgabe 978-3-11-085399-5 De Gruyter studies in mathematics 4 (DE-604)BV000005407 4 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000218018&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Constantinescu, Corneliu 1929- Spaces of measures De Gruyter studies in mathematics Calcul intégral ram Espace mesure Jussieu Espace vectoriel ordonné Jussieu Espaces de mesures Lineaire functionalen gtt Maattheorie gtt Théorème Nikodym Jussieu Théorème Orlicz-Pettis Jussieu Théorème Phillips Jussieu Théorème Vitali-Hahn-Saks Jussieu Topologie générale Jussieu Spaces of measures Maßtheorie (DE-588)4074626-4 gnd Maßraum (DE-588)4169057-6 gnd Integrationstheorie (DE-588)4138369-2 gnd |
| subject_GND | (DE-588)4074626-4 (DE-588)4169057-6 (DE-588)4138369-2 |
| title | Spaces of measures |
| title_auth | Spaces of measures |
| title_exact_search | Spaces of measures |
| title_full | Spaces of measures Corneliu Constantinescu |
| title_fullStr | Spaces of measures Corneliu Constantinescu |
| title_full_unstemmed | Spaces of measures Corneliu Constantinescu |
| title_short | Spaces of measures |
| title_sort | spaces of measures |
| topic | Calcul intégral ram Espace mesure Jussieu Espace vectoriel ordonné Jussieu Espaces de mesures Lineaire functionalen gtt Maattheorie gtt Théorème Nikodym Jussieu Théorème Orlicz-Pettis Jussieu Théorème Phillips Jussieu Théorème Vitali-Hahn-Saks Jussieu Topologie générale Jussieu Spaces of measures Maßtheorie (DE-588)4074626-4 gnd Maßraum (DE-588)4169057-6 gnd Integrationstheorie (DE-588)4138369-2 gnd |
| topic_facet | Calcul intégral Espace mesure Espace vectoriel ordonné Espaces de mesures Lineaire functionalen Maattheorie Théorème Nikodym Théorème Orlicz-Pettis Théorème Phillips Théorème Vitali-Hahn-Saks Topologie générale Spaces of measures Maßtheorie Maßraum Integrationstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000218018&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000005407 |
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