Smooth Analysis in Banach Spaces

Petr Hajek author Michal Johanis author

Format:Hardback

Publisher:De Gruyter

Published:15th Sep '14

Currently unavailable, and unfortunately no date known when it will be back

Smooth Analysis in Banach Spaces cover

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.

ISBN: 9783110258981

Dimensions: unknown

Weight: 968g

513 pages