Grothendieck spaces in approximation theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
1972
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
120 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 121 S. |
| ISBN: | 0821818201 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV005710770 | ||
| 003 | DE-604 | ||
| 005 | 20160226 | ||
| 007 | t | ||
| 008 | 921028s1972 |||| 00||| eng d | ||
| 020 | |a 0821818201 |9 0-8218-1820-1 | ||
| 035 | |a (OCoLC)354548 | ||
| 035 | |a (DE-599)BVBBV005710770 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 |a DE-355 |a DE-824 |a DE-29T |a DE-20 |a DE-739 |a DE-384 |a DE-19 |a DE-91G |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 510/.8 | |
| 082 | 0 | |a 515/.73 | |
| 084 | |a SK 470 |0 (DE-625)143241: |2 rvk | ||
| 100 | 1 | |a Blatter, Jörg |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Grothendieck spaces in approximation theory |c by Jörg Blatter |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 1972 | |
| 300 | |a 121 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 120 | |
| 650 | 4 | |a Approximations (Mathématiques) | |
| 650 | 4 | |a Espaces fonctionnels | |
| 650 | 4 | |a Approximation theory | |
| 650 | 4 | |a Function spaces | |
| 650 | 0 | 7 | |a Grothendieck-Raum |0 (DE-588)4125377-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Approximationstheorie |0 (DE-588)4120913-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Grothendieck-Raum |0 (DE-588)4125377-2 |D s |
| 689 | 0 | 1 | |a Approximationstheorie |0 (DE-588)4120913-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 120 |w (DE-604)BV008000141 |9 120 | |
| 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=003567393&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |q TUB-www | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-003567393 | ||
Datensatz im Suchindex
| _version_ | 1804119896781488128 |
|---|---|
| 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.
|
| any_adam_object | 1 |
| author | Blatter, Jörg |
| author_facet | Blatter, Jörg |
| author_role | aut |
| author_sort | Blatter, Jörg |
| author_variant | j b jb |
| building | Verbundindex |
| bvnumber | BV005710770 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 470 |
| ctrlnum | (OCoLC)354548 (DE-599)BVBBV005710770 |
| dewey-full | 510/.8 515/.73 |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01828nam a2200457 cb4500</leader><controlfield tag="001">BV005710770</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20160226 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">921028s1972 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821818201</subfield><subfield code="9">0-8218-1820-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)354548</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV005710770</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510/.8</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.73</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 470</subfield><subfield code="0">(DE-625)143241:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Blatter, Jörg</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Grothendieck spaces in approximation theory</subfield><subfield code="c">by Jörg Blatter</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, R.I.</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">1972</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">121 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">120</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Approximations (Mathématiques)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Espaces fonctionnels</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Approximation theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Function spaces</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Grothendieck-Raum</subfield><subfield code="0">(DE-588)4125377-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Approximationstheorie</subfield><subfield code="0">(DE-588)4120913-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Grothendieck-Raum</subfield><subfield code="0">(DE-588)4125377-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Approximationstheorie</subfield><subfield code="0">(DE-588)4120913-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">120</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">120</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">TUB-www</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-003567393</subfield></datafield></record></collection> |
| id | DE-604.BV005710770 |
| 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 |
| open_access_boolean | |
| owner | DE-703 DE-355 DE-BY-UBR DE-824 DE-29T DE-20 DE-739 DE-384 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-83 DE-188 |
| owner_facet | DE-703 DE-355 DE-BY-UBR DE-824 DE-29T DE-20 DE-739 DE-384 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-83 DE-188 |
| physical | 121 S. |
| psigel | TUB-www |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | American Mathematical Society |
| record_format | marc |
| 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 |
| url | 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 |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT blatterjorg grothendieckspacesinapproximationtheory |