Introduction to Banach spaces: analysis and probability Volume 1
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...
Gespeichert in:
| Beteilige Person: | |
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| Weitere beteiligte Personen: | , , |
| Format: | E-Book |
| Sprache: | Englisch Französisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2017
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
166 |
| Links: | https://doi.org/10.1017/CBO9781316675762 |
| Zusammenfassung: | 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. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition. |
| Umfang: | 1 Online-Ressource (ix, 431 Seiten) |
| ISBN: | 9781316675762 |
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| 245 | 1 | 0 | |a Introduction to Banach spaces |b analysis and probability |n Volume 1 |c Daniel Li, Hervé Queffélec ; translated from the French by Danièle Gibbons and Greg Gibbons |
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| 490 | 1 | |a Cambridge studies in advanced mathematics |v 166 | |
| 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. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition. | ||
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| spelling | Li, Daniel Introduction à l'étude des espaces de Banach. English Introduction to Banach spaces analysis and probability Volume 1 Daniel Li, Hervé Queffélec ; translated from the French by Danièle Gibbons and Greg Gibbons Cambridge Cambridge University Press 2017 1 Online-Ressource (ix, 431 Seiten) txt c cr Cambridge studies in advanced mathematics 166 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. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition. Gibbons, Danièle Gibbons, Greg Queffélec, Hervé Erscheint auch als Druck-Ausgabe 9781107160514 |
| spellingShingle | Li, Daniel Introduction to Banach spaces analysis and probability |
| title | Introduction to Banach spaces analysis and probability |
| title_alt | Introduction à l'étude des espaces de Banach. |
| title_auth | Introduction to Banach spaces analysis and probability |
| title_exact_search | Introduction to Banach spaces analysis and probability |
| title_full | Introduction to Banach spaces analysis and probability Volume 1 Daniel Li, Hervé Queffélec ; translated from the French by Danièle Gibbons and Greg Gibbons |
| title_fullStr | Introduction to Banach spaces analysis and probability Volume 1 Daniel Li, Hervé Queffélec ; translated from the French by Danièle Gibbons and Greg Gibbons |
| title_full_unstemmed | Introduction to Banach spaces analysis and probability Volume 1 Daniel Li, Hervé Queffélec ; translated from the French by Danièle Gibbons and Greg Gibbons |
| title_short | Introduction to Banach spaces |
| title_sort | introduction to banach spaces analysis and probability |
| title_sub | analysis and probability |
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