Bundles of topological vector spaces and their duality:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1982
|
| Series: | Lecture notes in mathematics
955 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IV, 296 S. |
| ISBN: | 3540116109 0387116109 |
Staff View
MARC
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| 245 | 1 | 0 | |a Bundles of topological vector spaces and their duality |c Gerhard Gierz |
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| 300 | |a IV, 296 S. | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 955 | |
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| 650 | 4 | |a Espaces vectoriels topologiques | |
| 650 | 4 | |a Faisceaux vectoriels | |
| 650 | 7 | |a Topologische ruimten |2 gtt | |
| 650 | 4 | |a Duality theory (Mathematics) | |
| 650 | 4 | |a Linear topological spaces | |
| 650 | 4 | |a Vector bundles | |
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Record in the Search Index
| _version_ | 1804114495358894080 |
|---|---|
| adam_text | Contents
Introduction 1
Notational remarks 7
1. Basic definitions 8
2. Full bundles and bundles with completely regular
base spaces ... 22
3. Bundles with locally paracompact base spaces .... 28
4. Stone WeierstraB theorems for bundles 39
5. An alternative description of spaces of sections:
Function modules ... 44
6. Some algebraic aspects of fi spaces 60
7. A third description of spaces of sections: C(X)
convex modules ... 62
8. C(X) submodules of r (p) 80
9. Quotients of bundles of C(X) modules 86
10. Morphisms between bundles 95
11. Bundles of operators 112
12 Excursion: Continuous lattices, and bundles 136
13. M structure and bundles 144
14. An adequate M theory for fJ spaces 154
15. Duality 159
16. The closure of the unit ball of a bundle and
separation axioms .... 183
17. Locally trivial bundles: A definition 200
18. Local linear independence 202
19. The space Mod (r (p) ,C (X) ) 209
2c • Internal duality of C(X) modules 232
IV
21. The dual space r(p) of a space of sections .... 252
Appendix: Integral representation of linear functionals
on a space of sections (by Gerhard Gierz
and Klaus Keimel) 260
References 284
Index 291
|
| any_adam_object | 1 |
| author | Gierz, Gerhard |
| author_facet | Gierz, Gerhard |
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| author_sort | Gierz, Gerhard |
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| building | Verbundindex |
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| dewey-full | 515.7/3 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
| dewey-raw | 515.7/3 510 |
| dewey-search | 515.7/3 510 |
| dewey-sort | 3515.7 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| genre | Dualer Vektorraum gnd Topologisches Vektorraumbündel gnd |
| genre_facet | Dualer Vektorraum Topologisches Vektorraumbündel |
| id | DE-604.BV000041264 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:07:38Z |
| institution | BVB |
| isbn | 3540116109 0387116109 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000011211 |
| oclc_num | 8866592 |
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| physical | IV, 296 S. |
| psigel | TUB-www |
| publishDate | 1982 |
| publishDateSearch | 1982 |
| publishDateSort | 1982 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Gierz, Gerhard Verfasser aut Bundles of topological vector spaces and their duality Gerhard Gierz Berlin [u.a.] Springer 1982 IV, 296 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 955 Dualiteit gtt Dualité, Principe de (Mathématiques) Espaces vectoriels topologiques Faisceaux vectoriels Topologische ruimten gtt Duality theory (Mathematics) Linear topological spaces Vector bundles Topologie (DE-588)4060425-1 gnd rswk-swf Vektorraumbündel (DE-588)4187470-5 gnd rswk-swf Dualität (DE-588)4013161-0 gnd rswk-swf Dualer Vektorraum gnd rswk-swf Topologisches Vektorraumbündel gnd rswk-swf Topologisches Vektorraumbündel f Dualität (DE-588)4013161-0 s DE-604 Vektorraumbündel (DE-588)4187470-5 s Dualer Vektorraum f Topologie (DE-588)4060425-1 s 1\p DE-604 Lecture notes in mathematics 955 (DE-604)BV000676446 955 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000011211&sequence=000002&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 | Gierz, Gerhard Bundles of topological vector spaces and their duality Lecture notes in mathematics Dualiteit gtt Dualité, Principe de (Mathématiques) Espaces vectoriels topologiques Faisceaux vectoriels Topologische ruimten gtt Duality theory (Mathematics) Linear topological spaces Vector bundles Topologie (DE-588)4060425-1 gnd Vektorraumbündel (DE-588)4187470-5 gnd Dualität (DE-588)4013161-0 gnd |
| subject_GND | (DE-588)4060425-1 (DE-588)4187470-5 (DE-588)4013161-0 |
| title | Bundles of topological vector spaces and their duality |
| title_auth | Bundles of topological vector spaces and their duality |
| title_exact_search | Bundles of topological vector spaces and their duality |
| title_full | Bundles of topological vector spaces and their duality Gerhard Gierz |
| title_fullStr | Bundles of topological vector spaces and their duality Gerhard Gierz |
| title_full_unstemmed | Bundles of topological vector spaces and their duality Gerhard Gierz |
| title_short | Bundles of topological vector spaces and their duality |
| title_sort | bundles of topological vector spaces and their duality |
| topic | Dualiteit gtt Dualité, Principe de (Mathématiques) Espaces vectoriels topologiques Faisceaux vectoriels Topologische ruimten gtt Duality theory (Mathematics) Linear topological spaces Vector bundles Topologie (DE-588)4060425-1 gnd Vektorraumbündel (DE-588)4187470-5 gnd Dualität (DE-588)4013161-0 gnd |
| topic_facet | Dualiteit Dualité, Principe de (Mathématiques) Espaces vectoriels topologiques Faisceaux vectoriels Topologische ruimten Duality theory (Mathematics) Linear topological spaces Vector bundles Topologie Vektorraumbündel Dualität Dualer Vektorraum Topologisches Vektorraumbündel |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000011211&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT gierzgerhard bundlesoftopologicalvectorspacesandtheirduality |