UID:
almahu_9949462113002882
Umfang:
1 online resource (497 p.)
ISBN:
9783110258998
,
9783110647099
Serie:
De Gruyter Series in Nonlinear Analysis and Applications , 19
Inhalt:
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.
Anmerkung:
Frontmatter --
,
Contents --
,
Introduction --
,
Chapter 1. Fundamental properties of smoothness --
,
Chapter 2. Basic properties of polynomials on Rn --
,
Chapter 3. Weak continuity of polynomials and estimates of coefficients --
,
Chapter 4. Asymptotic properties of polynomials --
,
Chapter 5. Smoothness and structure --
,
Chapter 6. Structural behaviour of smooth mappings --
,
Chapter 7. Smooth approximation --
,
Bibliography --
,
Notation --
,
Index
,
Issued also in print.
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DG Studies in Nonlinear Analysis and Applications, De Gruyter, 9783110647099
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
EBOOK PACKAGE Complete Package 2014, De Gruyter, 9783110369526
In:
EBOOK PACKAGE Mathematics, Physics 2014, De Gruyter, 9783110370355
Weitere Ausg.:
ISBN 9783110391992
Weitere Ausg.:
ISBN 9783110258981
Sprache:
Englisch
Fachgebiete:
Mathematik
DOI:
10.1515/9783110258998
URL:
https://doi.org/10.1515/9783110258998
URL:
https://www.degruyter.com/isbn/9783110258998
