Integral representation : Choquet theory for linear operators on function spaces / Walter Roth.

Format:

Book

Author/Creator:

Roth, Walter, 1929- author.

Series:

De Gruyter expositions in mathematics ; 74.

De Gruyter expositions in mathematics ; volume 74

Language:

English

Subjects (All):

Function spaces.

Integral representations.

Choquet theory.

Linear operators.

Physical Description:

1 online resource (xi, 251 pages).

Place of Publication:

Berlin, Germany : Walter de Gruyter GmbH, [2023]

Summary:

This book presents a wide-ranging approach to operator-valued measures and integrals of both vector-valued and set-valued functions. It covers convergence theorems and an integral representation for linear operators on spaces of continuous vector-valued functions on a locally compact space. These are used to extend Choquet theory, which was originally formulated for linear functionals on spaces of real-valued functions, to operators of this type.

Contents:

Intro

Introduction

Contents

1 Function spaces

2 Integration

3 Choquet theory

List of Symbols

Bibliography

Index.

Notes:

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (viewed on January 21, 2024)

Other Format:

Print version: Roth, Walter Integral Representation

ISBN:

3-11-131547-9

9783111315584

3111315584

9783111315478

3111315479

OCLC:

1406153434