Integral representation choquet theory for linear operators on function spaces

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 ar...

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Bibliographic Details
Main Author: Roth, Walter
Format: eBook
Language:English
Published: Berlin ; Boston De Gruyter 2023, ©2023
Series:De Gruyter expositions in mathematics
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
Description
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.
Physical Description:XI, 251 pages
ISBN:978-3-11-131547-8
978-3-11-131558-4