Grothendieck spaces in approximation theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Mathematical Society
1972
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
120 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 121 S. |
| ISBN: | 0821818201 |
Staff View
MARC
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| 650 | 4 | |a Approximations (Mathématiques) | |
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Record in the Search Index
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| adam_text | Contents
Introduction 2
Preliminarie s 3
Chapter one. Grothendieck spaces 7
Definition. Characterization in the real case 7
Tensor product representation 11
Characterization by invariance properties 16
Weierstrass-Stone and Kakutani-Stone theorems 23
Chapter two. A selection theorem 33
Chapter three. Best approximation by Grothendieck spaces 45
Best approximation and selection 46
Best approximation by Grothendieck spaces 67
Best approximation by Weierstrass-Stone
and Kakutani-Stone spaces 83
The problem of best approximation by the canonical
image of a Banach space in its second dual 95
Appendix. Compactness, infima of functions and the existence
of best approximations 98
Bibliography 114
A part of this paper was presented to the American Mathematical
Society on January 21, 1971 under the title Approximation and Selection .
Received by the Editors November 1, 1971.
|
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:33:29Z |
| institution | BVB |
| isbn | 0821818201 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003567393 |
| oclc_num | 354548 |
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| physical | 121 S. |
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| publishDate | 1972 |
| publishDateSearch | 1972 |
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| publisher | American Mathematical Society |
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| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Blatter, Jörg Verfasser aut Grothendieck spaces in approximation theory by Jörg Blatter Providence, R.I. American Mathematical Society 1972 121 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 120 Approximations (Mathématiques) Espaces fonctionnels Approximation theory Function spaces Grothendieck-Raum (DE-588)4125377-2 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Grothendieck-Raum (DE-588)4125377-2 s Approximationstheorie (DE-588)4120913-8 s DE-604 American Mathematical Society: Memoirs of the American Mathematical Society 120 (DE-604)BV008000141 120 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003567393&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Blatter, Jörg Grothendieck spaces in approximation theory American Mathematical Society: Memoirs of the American Mathematical Society Approximations (Mathématiques) Espaces fonctionnels Approximation theory Function spaces Grothendieck-Raum (DE-588)4125377-2 gnd Approximationstheorie (DE-588)4120913-8 gnd |
| subject_GND | (DE-588)4125377-2 (DE-588)4120913-8 |
| title | Grothendieck spaces in approximation theory |
| title_auth | Grothendieck spaces in approximation theory |
| title_exact_search | Grothendieck spaces in approximation theory |
| title_full | Grothendieck spaces in approximation theory by Jörg Blatter |
| title_fullStr | Grothendieck spaces in approximation theory by Jörg Blatter |
| title_full_unstemmed | Grothendieck spaces in approximation theory by Jörg Blatter |
| title_short | Grothendieck spaces in approximation theory |
| title_sort | grothendieck spaces in approximation theory |
| topic | Approximations (Mathématiques) Espaces fonctionnels Approximation theory Function spaces Grothendieck-Raum (DE-588)4125377-2 gnd Approximationstheorie (DE-588)4120913-8 gnd |
| topic_facet | Approximations (Mathématiques) Espaces fonctionnels Approximation theory Function spaces Grothendieck-Raum Approximationstheorie |
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