Smooth Analysis in Banach Spaces

1. Auflage 2014
ISBN: 978-3-11-025898-1
Verlag: De Gruyter

Buch, Englisch, Band 19, 497 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 1045 g

Reihe: De Gruyter Series in Nonlinear Analysis and Applications

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.

Zielgruppe

Graduate Students, Researchers in Functional Analysis; Academic Libraries

Autoren/Hrsg.

Hájek, Petr

Johanis, Michal

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Über Autor(innen)

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