Smooth Analysis in Banach Spaces (Hardcover, Digital original)

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.

General

Imprint:	De Gruyter
Country of origin:	Germany
Series:	De Gruyter Series in Nonlinear Analysis & Applications
Release date:	September 2014
First published:	2014
Authors:	Petr Hajek • Michal Johanis
Dimensions:	240 x 170 x 31mm (L x W x T)
Format:	Hardcover - Cloth over boards
Pages:	513
Edition:	Digital original
ISBN-13:	978-3-11-025898-1
Categories:	Books > Reference & Interdisciplinary > Encyclopaedias & reference works > Reference works > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Promotions
LSN:	3-11-025898-6
Barcode:	9783110258981

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