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This book is about the subject of higher smoothness in separable real Banach spaces. It brings together several angles of view on polynomials, both in finite and infinite setting. Also a rather thorough and systematic view of the more recent results, and the authors work is given. The book revolves around two main broad questions: What is the best smoothness of a given Banach space, and its structural consequences? How large is a supply of smooth functions in the sense of approximating continuous functions in the uniform topology, i.e. how does the Stone-Weierstrass theorem generalize into infinite dimension where measure and compactness are not available?
The subject of infinite dimensional real higher smoothness is treated here for the first time in full detail, therefore this book may also serve as a reference book.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Informazioni sull?autore
Petr Hájek, Academy of Sciences of the Czech Republic, Prague, Czech Republic; Michal Johanis, Charles University, Prague, Czech Republic.
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Smooth Analysis in Banach Spaces
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Smooth Analysis in Banach Spaces
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is about the subject of higher smoothness in separable real Banach spaces. It brings together several angles of view on polynomials, both in finite and infinite setting. Also a rather thorough and systematic view of the more recent results, and the authors work is given. The book revolves around two main broad questions: What is the best smoothness of a given Banach space, and its structural consequences How large is a supply of smooth functions in the sense of approximating continuous functions in the uniform topology, i.e. how does the Stone-Weierstrass theorem generalize into infinite dimension where measure and compactness are not available The subject of infinite dimensional real higher smoothness is treated here for the first time in full detail, therefore this book may also serve as a reference book. 516 pp. Englisch. Codice articolo 9783110258981
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Smooth analysis in Banach spaces
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sci. Codice articolo 4456179
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Smooth Analysis in Banach Spaces (De Gruyter Series in Nonlinear Analysis and Applications, 19)
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Smooth Analysis in Banach Spaces De Gruyter Series in Nonlinear Analysis Applications 19
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Smooth Analysis in Banach Spaces
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ISBN 13: 9783110258981
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Buch. Condizione: Neu. Neuware -The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome.Editor-in-ChiefJürgen Appell, Würzburg, GermanyHonorary and Advisory EditorsCatherine Bandle, Basel, SwitzerlandAvner Friedman, Columbus, Ohio, USAManuel del Pino, Bath, UK, and Santiago, ChileMikio Kato, Nagano, JapanWojciech Kryszewski, Torü, PolandVicen¿iu D. R¿dulescu, Kraków, PolandSimeon Reich, Haifa, IsraelPlease submit book proposals to Jürgen Appell.Titles in planning includeIreneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy¿Leray Potential (2020)Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020)Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)Walter de Gruyter GmbH, Genthiner Strasse 13, 10785 Berlin 516 pp. Englisch. Codice articolo 9783110258981
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Smooth Analysis in Banach Spaces
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is about the subject of higher smoothness in separable real Banach spaces. It brings together several angles of view on polynomials, both in finite and infinite setting. Also a rather thorough and systematic view of the more recent results, and the authors work is given. The book revolves around two main broad questions: What is the best smoothness of a given Banach space, and its structural consequences How large is a supply of smooth functions in the sense of approximating continuous functions in the uniform topology, i.e. how does the Stone-Weierstrass theorem generalize into infinite dimension where measure and compactness are not available The subject of infinite dimensional real higher smoothness is treated here for the first time in full detail, therefore this book may also serve as a reference book. Codice articolo 9783110258981
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