1.

Record Nr.

UNINA9910815303303321

Autore

Hájek Petr

Titolo

Smooth analysis in Banach spaces / / by Petr Hájek, Michal Johanis

Pubbl/distr/stampa

Berlin ; ; Boston : , : Walter de Gruyter GmbH & Company, KG, , [2014]

©2014

ISBN

3-11-025899-4

3-11-039199-6

Descrizione fisica

XVI, 497 p. ; ; 25 cm

Collana

De Gruyter series in nonlinear analysis and applications, , 0941-813X ; ; 19

Classificazione

SK 600

Disciplina

515/.732

Soggetti

Banach spaces

Normed linear spaces

Polynomials

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

MSC 46Bxx ; 46E15 ; 15A03

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Front matter -- 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

Sommario/riassunto

The purpose of this book is to lay down the foundations for the abstract theory of Ck-smoothness in infinite-dimensional real Banach spaces, and investigate its intimate connections with the structural properties of the underlying spaces.