Barrelledness in topological and ordered vector spaces:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1978
|
| Schriftenreihe: | Lecture notes in mathematics
692 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 258 S. |
| ISBN: | 3540090967 0387090967 |
Internformat
MARC
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| 100 | 1 | |a Husain, Taqdir |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Barrelledness in topological and ordered vector spaces |c T. Husain ; S. M. Khaleelulla |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1978 | |
| 300 | |a IX, 258 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 692 | |
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| 650 | 7 | |a Espaces vectoriels topologiques |2 ram | |
| 650 | 4 | |a Barrelled spaces | |
| 650 | 4 | |a Linear topological spaces, Ordered | |
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Datensatz im Suchindex
| _version_ | 1804116712858058752 |
|---|---|
| adam_text | CONTENTS
CHAPTER I
PRELIMINARIES
1. Topological vector spaces 1
2. Locally convex spaces 8
3. The Hahn-Banach theorem 10
4. Completeness, quasi-completeness and sequential
completeness 12
5. Continuous and open linear maps 13
6. (Zr -topologies 15
7. Duality theory 18
8. Topological tensor products 24
9. Topological bases 26
10. Ordered topological vector spaces 29
11. Ordered locally convex spaces 36
12. The topology O(F,E) 39
CHAPTER II
SOME CLASSES OF LOCALLY CONVEX SPACES
1. Barrelled and quasibarrelled spaces 42
2. Bornological spaces 65
3. Distinguished spaces 73
4. (DF)-spaces 75
CHAPTER III
ULTRABARRELLED, ULTRABORNOLOGICAL
AND QUASIULTRABARRELLED SPACES
1. Ultrabarrelled and quasiultrabarrelled spaces 83
2. Ultrabornological spaces 99
VIII
CHAPTER IV
ORDER-QUASIBARRELLED VECTOR LATTICES AND SPACES
1. Order-quasibarrelled vector lattices 103
2. Permanence properties 117
3. Closed graph and Banach-Steinhaus theorems 123
CHAPTER V
COUNTABLY BARRELLED AND COUNTABLY QUASIBARRELLED SPACES
1. Definitions, characterizations and relationships 130
2. C(X), countably barrelled and countably quasibarrelled
spaces 139
3. The Banach-Steinhaus theorem 145
4. Permanence properties 147
5. H-spaces 154
6. Open problems 158
CHAPTER VI
a -BARRELLED AND SEQUENTIALLY BARRELLED SPACES
1 . a -barrelled spaces 159
2. a -barrelled spaces and Mackey topology 168
3. Unconditional convergence and bases 175
4. Sequentially barrelled spaces 182
5. Open problems 190
CHAPTER VII
COUNTABLY ULTRABARRELLED AND COUNTABLY
QUASIULTRABARRELLED SPACES
1 . Definitions and some properties 192
2. The Banach-Steinhaus and the isomorphism theorems 198
3. Tensor products 201
4. Open problems 206
IX
CHAPTER VIII
COUNTABLY ORDER-QUASIBARRELLED VECTOR
LATTICES AND SPACES
1. C.O.Q. vector lattices 207
2. Order-(DF)-vector lattices 215
3. Permanence properties 218
4. C.O.Q. vector spaces and analogue of the Banach-Steinhaus
theorem 222
5. Tensor products 225
6. Open problems 227
CHAPTER IX
ORDER-QUASIULTRABARRELLED VECTOR
LATTICES AND SPACES
1. O.Q.U. vector lattices 228
2. Permanence properties 233
3. Analogue of the Banach-Steinhaus theorem 237
4. A closed graph theorem 241
BIBLIOGRAPHY 245
INDEX 252
|
| any_adam_object | 1 |
| author | Husain, Taqdir Khaleelulla, Srinivasapur M. |
| author_facet | Husain, Taqdir Khaleelulla, Srinivasapur M. |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 515 - Analysis |
| dewey-raw | 510/.8 515/.73 |
| dewey-search | 510/.8 515/.73 |
| dewey-sort | 3510 18 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:52Z |
| institution | BVB |
| isbn | 3540090967 0387090967 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001482550 |
| oclc_num | 4493665 |
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| physical | IX, 258 S. |
| publishDate | 1978 |
| publishDateSearch | 1978 |
| publishDateSort | 1978 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Husain, Taqdir Verfasser aut Barrelledness in topological and ordered vector spaces T. Husain ; S. M. Khaleelulla Berlin [u.a.] Springer 1978 IX, 258 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 692 Espaces tonnelés Espaces tonnelés ram Espaces vectoriels topologiques ordonnés Espaces vectoriels topologiques ram Barrelled spaces Linear topological spaces, Ordered Geordneter topologischer Raum (DE-588)4327282-4 gnd rswk-swf Fass-Struktur gnd rswk-swf Fass-Struktur f Geordneter topologischer Raum (DE-588)4327282-4 s DE-604 Khaleelulla, Srinivasapur M. Verfasser aut Lecture notes in mathematics 692 (DE-604)BV000676446 692 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001482550&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Husain, Taqdir Khaleelulla, Srinivasapur M. Barrelledness in topological and ordered vector spaces Lecture notes in mathematics Espaces tonnelés Espaces tonnelés ram Espaces vectoriels topologiques ordonnés Espaces vectoriels topologiques ram Barrelled spaces Linear topological spaces, Ordered Geordneter topologischer Raum (DE-588)4327282-4 gnd |
| subject_GND | (DE-588)4327282-4 |
| title | Barrelledness in topological and ordered vector spaces |
| title_auth | Barrelledness in topological and ordered vector spaces |
| title_exact_search | Barrelledness in topological and ordered vector spaces |
| title_full | Barrelledness in topological and ordered vector spaces T. Husain ; S. M. Khaleelulla |
| title_fullStr | Barrelledness in topological and ordered vector spaces T. Husain ; S. M. Khaleelulla |
| title_full_unstemmed | Barrelledness in topological and ordered vector spaces T. Husain ; S. M. Khaleelulla |
| title_short | Barrelledness in topological and ordered vector spaces |
| title_sort | barrelledness in topological and ordered vector spaces |
| topic | Espaces tonnelés Espaces tonnelés ram Espaces vectoriels topologiques ordonnés Espaces vectoriels topologiques ram Barrelled spaces Linear topological spaces, Ordered Geordneter topologischer Raum (DE-588)4327282-4 gnd |
| topic_facet | Espaces tonnelés Espaces vectoriels topologiques ordonnés Espaces vectoriels topologiques Barrelled spaces Linear topological spaces, Ordered Geordneter topologischer Raum Fass-Struktur |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001482550&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
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