Smooth Analysis in Banach Spaces

Michal Johanis

ISBN 10: 3110258986 / ISBN 13: 9783110258981

Published by De Gruyter, De Gruyter Sep 2014, 2014

About this Item

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.

Seller Inventory # 9783110258981

Bibliographic Details

• Title: Smooth Analysis in Banach Spaces
• Publisher: De Gruyter, De Gruyter Sep 2014
• Publication Date: 2014
• Language: English
• ISBN 10: 3110258986
• ISBN 13: 9783110258981
• Binding: Buch
• Condition: Neu
• Dimensions: 246W x 175H x 34D millimeters 246 millimeters width by 175 millimeters height by 34 millimeters depth
• Weight: 1045 grams

About this title

Synopsis

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.

About the Author

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