Some topological and geometrical structures in Banach spaces:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
1987
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
378 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IV, 116 S. |
| ISBN: | 0821824414 |
Internformat
MARC
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| 245 | 1 | 0 | |a Some topological and geometrical structures in Banach spaces |c N. Ghoussoub ... |
| 264 | 1 | |a Providence, RI |c 1987 | |
| 300 | |a IV, 116 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 378 | |
| 650 | 7 | |a Banach, Espaces de |2 ram | |
| 650 | 7 | |a Géométrie |2 ram | |
| 650 | 4 | |a Banach spaces | |
| 650 | 4 | |a Banach spaces |x Radon-Nikodym property | |
| 650 | 4 | |a Convexity spaces | |
| 650 | 0 | 7 | |a Konvexität |0 (DE-588)4114284-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Banach-Raum |0 (DE-588)4004402-6 |2 gnd |9 rswk-swf |
| 655 | 7 | |a Radon-Nikodyn-Eigenschaft |2 gnd |9 rswk-swf | |
| 655 | 7 | |a Radon-Nikodym-Eigenschaft |2 gnd |9 rswk-swf | |
| 655 | 7 | |a Radon-Nikodymscher Raum |2 gnd |9 rswk-swf | |
| 689 | 0 | 0 | |a Radon-Nikodymscher Raum |A f |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Banach-Raum |0 (DE-588)4004402-6 |D s |
| 689 | 1 | 1 | |a Konvexität |0 (DE-588)4114284-6 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Banach-Raum |0 (DE-588)4004402-6 |D s |
| 689 | 2 | 1 | |a Konvexität |0 (DE-588)4114284-6 |D s |
| 689 | 2 | 2 | |a Radon-Nikodyn-Eigenschaft |A f |
| 689 | 2 | |5 DE-604 | |
| 689 | 3 | 0 | |a Banach-Raum |0 (DE-588)4004402-6 |D s |
| 689 | 3 | 1 | |a Konvexität |0 (DE-588)4114284-6 |D s |
| 689 | 3 | 2 | |a Radon-Nikodym-Eigenschaft |A f |
| 689 | 3 | |5 DE-604 | |
| 700 | 1 | |a Ghoussoub, Nassif |d 1953- |e Sonstige |0 (DE-588)137025246 |4 oth | |
| 830 | 0 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 378 |w (DE-604)BV008000141 |9 378 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002328358&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-002328358 | ||
Datensatz im Suchindex
| _version_ | 1804118004689010688 |
|---|---|
| adam_text | Contents pages
0. Introduction. 1 5
1. First class functions around a subset of a Polish space.
A. Characterizations of first class functions around 6 11
sets.
B. Spaces of continuous functions and convergence 11 15
around sets.
C. Compact families of first class functions around a 15 25
subset of a Polish space.
II. Afflne and first class functions around a subset of a 26 34
convex compact.
III. Dentablllty and related notions in Banach spaces.
A. Some geometrical properties of subsets of Banach 35 40
spaces.
B. Extensions of the above properties to operators. 40 44
IV. Operators from L [0,1] into Banach spaces.
A. The structure of the positive face of the unit ball 45 49
of L1.
B. Equimeasurable sets and Kadon Nlkodyn operators. 49 51
C. Sets of small oscillation and strongly regular 51 58
operators.
D. Sets of regular oscillation and regular operators. 58 66
V. A characterization of strongly regular Banach spaces. 67 72
IV. On w* regular sets in dual Banach spaces.
A. On the topological structure of w* regular sets. 73 79
B. w* regularity and the w* Radon Nikodym property. 80 83
C. Regular w* compact convex sets. 83 88
VII. On regular Banach spaces and the Radon Nlkodya property.
A. On the structure of regular Banach spaces. 89 91
B. When regular sets are deniable. 91 94
C. Regularity In preduals of Von Neunan algebras. 94 96
VIII. Examples and Remarks.
A. Some topological counterexamples. 97 100
B. Some examples of operators on L . 100 107
C. Some geometrical counterexamples. 107 110
IX. Appendix: A property of preduals of Von Neuraan 111 112
algebras (d apres U. Haagerup).
X. References. 113 116
|
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| ctrlnum | (OCoLC)16682879 (DE-599)BVBBV003656374 |
| dewey-full | 515.7/32 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
| dewey-raw | 515.7/32 510 |
| dewey-search | 515.7/32 510 |
| dewey-sort | 3515.7 232 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| genre | Radon-Nikodyn-Eigenschaft gnd Radon-Nikodym-Eigenschaft gnd Radon-Nikodymscher Raum gnd |
| genre_facet | Radon-Nikodyn-Eigenschaft Radon-Nikodym-Eigenschaft Radon-Nikodymscher Raum |
| id | DE-604.BV003656374 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:03:24Z |
| institution | BVB |
| isbn | 0821824414 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002328358 |
| oclc_num | 16682879 |
| open_access_boolean | |
| owner | DE-384 DE-739 DE-355 DE-BY-UBR DE-824 DE-12 DE-29T DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-83 DE-188 |
| owner_facet | DE-384 DE-739 DE-355 DE-BY-UBR DE-824 DE-12 DE-29T DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-83 DE-188 |
| physical | IV, 116 S. |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Some topological and geometrical structures in Banach spaces N. Ghoussoub ... Providence, RI 1987 IV, 116 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 378 Banach, Espaces de ram Géométrie ram Banach spaces Banach spaces Radon-Nikodym property Convexity spaces Konvexität (DE-588)4114284-6 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf Radon-Nikodyn-Eigenschaft gnd rswk-swf Radon-Nikodym-Eigenschaft gnd rswk-swf Radon-Nikodymscher Raum gnd rswk-swf Radon-Nikodymscher Raum f DE-604 Banach-Raum (DE-588)4004402-6 s Konvexität (DE-588)4114284-6 s Radon-Nikodyn-Eigenschaft f Radon-Nikodym-Eigenschaft f Ghoussoub, Nassif 1953- Sonstige (DE-588)137025246 oth American Mathematical Society: Memoirs of the American Mathematical Society 378 (DE-604)BV008000141 378 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002328358&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Some topological and geometrical structures in Banach spaces American Mathematical Society: Memoirs of the American Mathematical Society Banach, Espaces de ram Géométrie ram Banach spaces Banach spaces Radon-Nikodym property Convexity spaces Konvexität (DE-588)4114284-6 gnd Banach-Raum (DE-588)4004402-6 gnd |
| subject_GND | (DE-588)4114284-6 (DE-588)4004402-6 |
| title | Some topological and geometrical structures in Banach spaces |
| title_auth | Some topological and geometrical structures in Banach spaces |
| title_exact_search | Some topological and geometrical structures in Banach spaces |
| title_full | Some topological and geometrical structures in Banach spaces N. Ghoussoub ... |
| title_fullStr | Some topological and geometrical structures in Banach spaces N. Ghoussoub ... |
| title_full_unstemmed | Some topological and geometrical structures in Banach spaces N. Ghoussoub ... |
| title_short | Some topological and geometrical structures in Banach spaces |
| title_sort | some topological and geometrical structures in banach spaces |
| topic | Banach, Espaces de ram Géométrie ram Banach spaces Banach spaces Radon-Nikodym property Convexity spaces Konvexität (DE-588)4114284-6 gnd Banach-Raum (DE-588)4004402-6 gnd |
| topic_facet | Banach, Espaces de Géométrie Banach spaces Banach spaces Radon-Nikodym property Convexity spaces Konvexität Banach-Raum Radon-Nikodyn-Eigenschaft Radon-Nikodym-Eigenschaft Radon-Nikodymscher Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002328358&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT ghoussoubnassif sometopologicalandgeometricalstructuresinbanachspaces |