eBook - ePub

Smooth Analysis in Banach Spaces

Name: Smooth Analysis in Banach Spaces
Author: Petr Hájek,Michal Johanis

Petr Hájek,

Michal Johanis,

513 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Smooth Analysis in Banach Spaces

Petr Hájek,

Michal Johanis,

About this book

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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Yes, you can access Smooth Analysis in Banach Spaces by Petr Hájek,Michal Johanis in PDF and/or ePUB format, as well as other popular books in Mathematics & Functional Analysis. We have over one million books available in our catalogue for you to explore.