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Integral Representation: Choquet Theory for Linear Operators on Function Spaces

Integral Representation: Choquet Theory for Linear Operators on Function Spaces

Hardcover

Series: de Gruyter Expositions in Mathematics, Book 74

General Mathematics

ISBN10: 3111314502
ISBN13: 9783111314501
Publisher: De Gruyter
Published: Oct 4 2023
Pages: 266
Weight: 1.37
Height: 0.63 Width: 6.69 Depth: 9.61
Language: English
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.

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General Mathematics