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Smooth Analysis in Banach Spaces (De Gruyter Series in Nonlinear Analysis and Applications, 19) - Hardcover

Buch 21 von 39: De Gruyter Series in Nonlinear Analysis and Applications

Hájek, Petr; Johanis, Michal

 
9783110258981: Smooth Analysis in Banach Spaces (De Gruyter Series in Nonlinear Analysis and Applications, 19)
Hardcover
ISBN 10: 3110258986 ISBN 13: 9783110258981
Verlag: De Gruyter, 2014

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Petr Hájek, Academy of Sciences of the Czech Republic, Prague, Czech Republic; Michal Johanis, Charles University, Prague, Czech Republic.

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Verlag
De Gruyter
Erscheinungsdatum
2014
Sprache
Englisch
ISBN 10 
3110258986
ISBN 13 
9783110258981
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
513
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