A short course on Banach space theory:
This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course focuses on three major topics: the elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) spaces. While these topics can b...
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge ; New York ; Melbourne ; Madrid ; Cape Town ; Singapore ; São Paulo
Cambridge University Press
2005
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Schriftenreihe: | London Mathematical Society student texts
64 |
Schlagworte: | |
Online-Zugang: | BSB01 FHN01 UBR01 UPA01 URL des Erstveröffentlichers |
Zusammenfassung: | This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course focuses on three major topics: the elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) spaces. While these topics can be traced back to Banach himself, our primary interest is in the postwar renaissance of Banach space theory brought about by James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their elegant and insightful results are useful in many contemporary research endeavors and deserve greater publicity. By way of prerequisites, the reader will need an elementary understanding of functional analysis and at least a passing familiarity with abstract measure theory. An introductory course in topology would also be helpful; however, the text includes a brief appendix on the topology needed for the course |
Beschreibung: | 1 Online-Ressource (xii, 184 Seiten) |
ISBN: | 9780511614057 |
DOI: | 10.1017/CBO9780511614057 |
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490 | 1 | |a London Mathematical Society student texts |v 64 | |
520 | |a This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course focuses on three major topics: the elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) spaces. While these topics can be traced back to Banach himself, our primary interest is in the postwar renaissance of Banach space theory brought about by James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their elegant and insightful results are useful in many contemporary research endeavors and deserve greater publicity. By way of prerequisites, the reader will need an elementary understanding of functional analysis and at least a passing familiarity with abstract measure theory. An introductory course in topology would also be helpful; however, the text includes a brief appendix on the topology needed for the course | ||
650 | 4 | |a Banach spaces | |
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689 | 0 | |5 DE-604 | |
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Datensatz im Suchindex
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any_adam_object | |
author | Carothers, Neal L. 1952- |
author_GND | (DE-588)132017520 |
author_facet | Carothers, Neal L. 1952- |
author_role | aut |
author_sort | Carothers, Neal L. 1952- |
author_variant | n l c nl nlc |
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bvnumber | BV043940704 |
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collection | ZDB-20-CBO |
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dewey-full | 515/.732 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515/.732 |
dewey-search | 515/.732 |
dewey-sort | 3515 3732 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1017/CBO9780511614057 |
format | Electronic eBook |
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illustrated | Not Illustrated |
indexdate | 2024-07-10T07:39:14Z |
institution | BVB |
isbn | 9780511614057 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349674 |
oclc_num | 850706149 |
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owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR DE-739 |
physical | 1 Online-Ressource (xii, 184 Seiten) |
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publishDate | 2005 |
publishDateSearch | 2005 |
publishDateSort | 2005 |
publisher | Cambridge University Press |
record_format | marc |
series | London Mathematical Society student texts |
series2 | London Mathematical Society student texts |
spelling | Carothers, Neal L. 1952- Verfasser (DE-588)132017520 aut A short course on Banach space theory N.L. Carothers Cambridge ; New York ; Melbourne ; Madrid ; Cape Town ; Singapore ; São Paulo Cambridge University Press 2005 1 Online-Ressource (xii, 184 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 64 This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course focuses on three major topics: the elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) spaces. While these topics can be traced back to Banach himself, our primary interest is in the postwar renaissance of Banach space theory brought about by James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their elegant and insightful results are useful in many contemporary research endeavors and deserve greater publicity. By way of prerequisites, the reader will need an elementary understanding of functional analysis and at least a passing familiarity with abstract measure theory. An introductory course in topology would also be helpful; however, the text includes a brief appendix on the topology needed for the course Banach spaces Banach-Raum (DE-588)4004402-6 gnd rswk-swf Banach-Raum (DE-588)4004402-6 s DE-604 Erscheint auch als Druck-Ausgabe, Hardcover 978-0-521-84283-9 Erscheint auch als Druck-Ausgabe, Paperback 978-0-521-60372-0 London Mathematical Society student texts 64 (DE-604)BV046807407 64 https://doi.org/10.1017/CBO9780511614057 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Carothers, Neal L. 1952- A short course on Banach space theory London Mathematical Society student texts Banach spaces Banach-Raum (DE-588)4004402-6 gnd |
subject_GND | (DE-588)4004402-6 |
title | A short course on Banach space theory |
title_auth | A short course on Banach space theory |
title_exact_search | A short course on Banach space theory |
title_full | A short course on Banach space theory N.L. Carothers |
title_fullStr | A short course on Banach space theory N.L. Carothers |
title_full_unstemmed | A short course on Banach space theory N.L. Carothers |
title_short | A short course on Banach space theory |
title_sort | a short course on banach space theory |
topic | Banach spaces Banach-Raum (DE-588)4004402-6 gnd |
topic_facet | Banach spaces Banach-Raum |
url | https://doi.org/10.1017/CBO9780511614057 |
volume_link | (DE-604)BV046807407 |
work_keys_str_mv | AT carothersneall ashortcourseonbanachspacetheory |