Handbook of the geometry of Banach spaces:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Elsevier
2001-2003
|
| Ausgabe: | 1st ed |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The Handbook presents an overview of most aspects of modern Banach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory, and partial differential equations. The Handbook begins with a chapter on basic concepts in Banach space theory which contains all the background needed for reading any other chapter in the Handbook. Each of the twenty one articles in this volume after the basic concepts chapter is devoted to one specific direction of Banach space theory or its applications. Each article contains a motivated introduction as well as an exposition of the main results, methods, and open problems in its specific direction. Most have an extensive bibliography. Many articles contain new proofs of known results as well as expositions of proofs which are hard to locate in the literature or are only outlined in the original research papers. As well as being valuable to experienced researchers in Banach space theory, the Handbook should be an outstanding source for inspiration and information to graduate students and beginning researchers. The Handbook will be useful for mathematicians who want to get an idea of the various developments in Banach space theory Includes bibliographical references and indexes |
| Beschreibung: | 1 Online-Ressource (1 online resource (2 v. (ix, 1866 p.))) |
| ISBN: | 9780444828422 0444828427 |
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| 500 | |a The Handbook presents an overview of most aspects of modern Banach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory, and partial differential equations. The Handbook begins with a chapter on basic concepts in Banach space theory which contains all the background needed for reading any other chapter in the Handbook. Each of the twenty one articles in this volume after the basic concepts chapter is devoted to one specific direction of Banach space theory or its applications. Each article contains a motivated introduction as well as an exposition of the main results, methods, and open problems in its specific direction. Most have an extensive bibliography. Many articles contain new proofs of known results as well as expositions of proofs which are hard to locate in the literature or are only outlined in the original research papers. As well as being valuable to experienced researchers in Banach space theory, the Handbook should be an outstanding source for inspiration and information to graduate students and beginning researchers. The Handbook will be useful for mathematicians who want to get an idea of the various developments in Banach space theory | ||
| 500 | |a Includes bibliographical references and indexes | ||
| 650 | 4 | |a Banach spaces | |
| 650 | 4 | |a Banach, Espaces de | |
| 700 | 1 | |a Johnson, W. B. |e Sonstige |4 oth | |
| 700 | 1 | |a Lindenstrauss, Joram |e Sonstige |4 oth | |
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| id | DE-604.BV039830239 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:12:19Z |
| institution | BVB |
| isbn | 9780444828422 0444828427 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024690243 |
| oclc_num | 162589314 775117311 |
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| physical | 1 Online-Ressource (1 online resource (2 v. (ix, 1866 p.))) |
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| publishDate | 2001 |
| publishDateSearch | 2001 |
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| publisher | Elsevier |
| record_format | marc |
| spelling | Handbook of the geometry of Banach spaces edited by W.B. Johnson, J. Lindenstrauss 1st ed Amsterdam Elsevier 2001-2003 1 Online-Ressource (1 online resource (2 v. (ix, 1866 p.))) txt rdacontent c rdamedia cr rdacarrier The Handbook presents an overview of most aspects of modern Banach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory, and partial differential equations. The Handbook begins with a chapter on basic concepts in Banach space theory which contains all the background needed for reading any other chapter in the Handbook. Each of the twenty one articles in this volume after the basic concepts chapter is devoted to one specific direction of Banach space theory or its applications. Each article contains a motivated introduction as well as an exposition of the main results, methods, and open problems in its specific direction. Most have an extensive bibliography. Many articles contain new proofs of known results as well as expositions of proofs which are hard to locate in the literature or are only outlined in the original research papers. As well as being valuable to experienced researchers in Banach space theory, the Handbook should be an outstanding source for inspiration and information to graduate students and beginning researchers. The Handbook will be useful for mathematicians who want to get an idea of the various developments in Banach space theory Includes bibliographical references and indexes Banach spaces Banach, Espaces de Johnson, W. B. Sonstige oth Lindenstrauss, Joram Sonstige oth http://www.sciencedirect.com/science/book/9780444828422 Verlag Volltext |
| spellingShingle | Handbook of the geometry of Banach spaces Banach spaces Banach, Espaces de |
| title | Handbook of the geometry of Banach spaces |
| title_auth | Handbook of the geometry of Banach spaces |
| title_exact_search | Handbook of the geometry of Banach spaces |
| title_full | Handbook of the geometry of Banach spaces edited by W.B. Johnson, J. Lindenstrauss |
| title_fullStr | Handbook of the geometry of Banach spaces edited by W.B. Johnson, J. Lindenstrauss |
| title_full_unstemmed | Handbook of the geometry of Banach spaces edited by W.B. Johnson, J. Lindenstrauss |
| title_short | Handbook of the geometry of Banach spaces |
| title_sort | handbook of the geometry of banach spaces |
| topic | Banach spaces Banach, Espaces de |
| topic_facet | Banach spaces Banach, Espaces de |
| url | http://www.sciencedirect.com/science/book/9780444828422 |
| work_keys_str_mv | AT johnsonwb handbookofthegeometryofbanachspaces AT lindenstraussjoram handbookofthegeometryofbanachspaces |