Introduction to Banach spaces, Volume 2: analysis and probability
This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the...
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2018
|
| Series: | Cambridge Studies in Advanced Mathematics
167 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| Summary: | This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. Four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition |
| Item Description: | Originally published in French as Introduction à l’étude des espaces de Banach by Société Mathématique de France, 2004. - Title from publisher's bibliographic system (viewed on 10 Nov 2017) |
| Physical Description: | 1 Online-Ressource (xxx, 374 Seiten) |
| ISBN: | 9781316677391 |
| DOI: | 10.1017/9781316677391 |
Staff View
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| 520 | |a This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. Four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition | ||
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| illustrated | Not Illustrated |
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| isbn | 9781316677391 |
| language | English |
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| publishDate | 2018 |
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| spelling | Li, Daniel Verfasser (DE-588)115053589X aut Introduction à l’étude des espaces de Banach Introduction to Banach spaces, Volume 2 analysis and probability Daniel Li, Hervé Queffélec ; translated from the French by Danièle Gibbons and Greg Gibbons Cambridge Cambridge University Press 2018 1 Online-Ressource (xxx, 374 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge Studies in Advanced Mathematics 167 Originally published in French as Introduction à l’étude des espaces de Banach by Société Mathématique de France, 2004. - Title from publisher's bibliographic system (viewed on 10 Nov 2017) This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. Four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition Banach-Raum (DE-588)4004402-6 gnd rswk-swf Banach-Raum (DE-588)4004402-6 s DE-604 Queffélec, Hervé Sonstige (DE-588)1150536144 oth Gibbons, Danièle trl Gibbons, Greg trl Erscheint auch als Druck-Ausgabe 9781107162624 Cambridge Studies in Advanced Mathematics 167 (DE-604)BV044781283 167 https://doi.org/10.1017/9781316677391 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Li, Daniel Introduction to Banach spaces, Volume 2 analysis and probability Cambridge Studies in Advanced Mathematics Banach-Raum (DE-588)4004402-6 gnd |
| subject_GND | (DE-588)4004402-6 |
| title | Introduction to Banach spaces, Volume 2 analysis and probability |
| title_alt | Introduction à l’étude des espaces de Banach |
| title_auth | Introduction to Banach spaces, Volume 2 analysis and probability |
| title_exact_search | Introduction to Banach spaces, Volume 2 analysis and probability |
| title_full | Introduction to Banach spaces, Volume 2 analysis and probability Daniel Li, Hervé Queffélec ; translated from the French by Danièle Gibbons and Greg Gibbons |
| title_fullStr | Introduction to Banach spaces, Volume 2 analysis and probability Daniel Li, Hervé Queffélec ; translated from the French by Danièle Gibbons and Greg Gibbons |
| title_full_unstemmed | Introduction to Banach spaces, Volume 2 analysis and probability Daniel Li, Hervé Queffélec ; translated from the French by Danièle Gibbons and Greg Gibbons |
| title_short | Introduction to Banach spaces, Volume 2 |
| title_sort | introduction to banach spaces volume 2 analysis and probability |
| title_sub | analysis and probability |
| topic | Banach-Raum (DE-588)4004402-6 gnd |
| topic_facet | Banach-Raum |
| url | https://doi.org/10.1017/9781316677391 |
| volume_link | (DE-604)BV044781283 |
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