Smooth Analysis in Banach Spaces / / Petr Hájek, Michal Johanis.
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...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2014] ©2014 |
Year of Publication: | 2014 |
Language: | English |
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Physical Description: | 1 online resource (497 p.) |
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Hájek, Petr, author. aut http://id.loc.gov/vocabulary/relators/aut Smooth Analysis in Banach Spaces / Petr Hájek, Michal Johanis. Berlin ; Boston : De Gruyter, [2014] ©2014 1 online resource (497 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Series in Nonlinear Analysis and Applications , 0941-813X ; 19 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Banach spaces. Normed linear spaces. Polynomials. MATHEMATICS / Functional Analysis. bisacsh Approximation. Banach Space. Polynomial. Smoothness. Variational Principle. Johanis, Michal, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications 9783110647099 Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471 Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA Title is part of eBook package: De Gruyter EBOOK PACKAGE Complete Package 2014 9783110369526 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics, Physics 2014 9783110370355 ZDB-23-DEM EPUB 9783110391992 print 9783110258981 https://doi.org/10.1515/9783110258998 https://www.degruyter.com/isbn/9783110258998 Cover https://www.degruyter.com/document/cover/isbn/9783110258998/original |
language |
English |
format |
eBook |
author |
Hájek, Petr, Hájek, Petr, Johanis, Michal, |
spellingShingle |
Hájek, Petr, Hájek, Petr, Johanis, Michal, Smooth Analysis in Banach Spaces / De Gruyter Series in Nonlinear Analysis and Applications , 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 |
author_facet |
Hájek, Petr, Hájek, Petr, Johanis, Michal, Johanis, Michal, Johanis, Michal, |
author_variant |
p h ph p h ph m j mj |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Johanis, Michal, Johanis, Michal, |
author2_variant |
m j mj |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Hájek, Petr, |
title |
Smooth Analysis in Banach Spaces / |
title_full |
Smooth Analysis in Banach Spaces / Petr Hájek, Michal Johanis. |
title_fullStr |
Smooth Analysis in Banach Spaces / Petr Hájek, Michal Johanis. |
title_full_unstemmed |
Smooth Analysis in Banach Spaces / Petr Hájek, Michal Johanis. |
title_auth |
Smooth Analysis in Banach Spaces / |
title_alt |
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 |
title_new |
Smooth Analysis in Banach Spaces / |
title_sort |
smooth analysis in banach spaces / |
series |
De Gruyter Series in Nonlinear Analysis and Applications , |
series2 |
De Gruyter Series in Nonlinear Analysis and Applications , |
publisher |
De Gruyter, |
publishDate |
2014 |
physical |
1 online resource (497 p.) Issued also in print. |
contents |
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 |
isbn |
9783110258998 9783110647099 9783110238570 9783110238471 9783110637205 9783110369526 9783110370355 9783110391992 9783110258981 |
issn |
0941-813X ; |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA322 |
callnumber-sort |
QA 3322.2 H35 42014 |
url |
https://doi.org/10.1515/9783110258998 https://www.degruyter.com/isbn/9783110258998 https://www.degruyter.com/document/cover/isbn/9783110258998/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515/.732 |
dewey-sort |
3515 3732 |
dewey-raw |
515/.732 |
dewey-search |
515/.732 |
doi_str_mv |
10.1515/9783110258998 |
oclc_num |
920798828 |
work_keys_str_mv |
AT hajekpetr smoothanalysisinbanachspaces AT johanismichal smoothanalysisinbanachspaces |
status_str |
n |
ids_txt_mv |
(DE-B1597)124125 (OCoLC)920798828 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 Title is part of eBook package: De Gruyter EBOOK PACKAGE Complete Package 2014 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics, Physics 2014 |
is_hierarchy_title |
Smooth Analysis in Banach Spaces / |
container_title |
Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications |
author2_original_writing_str_mv |
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