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

Format:

Book

Author/Creator:

Hájek, Petr, author.

Johanis, Michal, author.

Series:

De Gruyter series in nonlinear analysis and applications ; 19.

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

Language:

English

Subjects (All):

Banach spaces.

Normed linear spaces.

Polynomials.

Physical Description:

XVI, 497 p. ; 25 cm

Edition:

1st ed.

Place of Publication:

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

Language Note:

In English.

Summary:

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.

Contents:

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

Notes:

MSC 46Bxx ; 46E15 ; 15A03

Includes bibliographical references and index.

Description based on print version record.

ISBN:

3-11-025899-4

3-11-039199-6

OCLC:

920798828