Smooth Analysis in Banach Spaces
Seiten
| Ausstattung: Hardcover & eBook
2014
De Gruyter
978-3-11-220385-9 (ISBN)
De Gruyter
978-3-11-220385-9 (ISBN)
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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. Please submit book proposals to Jürgen Appell.
This bookis aboutthe 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 treatedherefor the first time in full detail, therefore this book may also serve as a reference book.
This bookis aboutthe 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 treatedherefor the first time in full detail, therefore this book may also serve as a reference book.
Petr Hájek, Academy of Sciences of the Czech Republic, Prague, Czech Republic; Michal Johanis,Charles University, Prague, Czech Republic.
| Reihe/Serie | De Gruyter Series in Nonlinear Analysis and Applications ; 19 |
|---|---|
| Zusatzinfo | Includes a print version and an ebook |
| Verlagsort | Berlin/Boston |
| Sprache | englisch |
| Maße | 170 x 240 mm |
| Schlagworte | Approximation • Banach space • Banach Space; Smoothness; Polynomial; Variational Principle; Approximation • polynomial • Smoothness • Variational Principle |
| ISBN-10 | 3-11-220385-2 / 3112203852 |
| ISBN-13 | 978-3-11-220385-9 / 9783112203859 |
| Zustand | Neuware |
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