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Integral Representation
Choquet Theory for Linear Operators on Function Spaces
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Walter Roth
Language:
English
Published/Copyright:
2023
About this book
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.
- A new and comprehensive approach to integrals of vector- and set-valued functions with respect to operator-valued measures,
- Integral representations for linear operators on function spaces,
- An extension of Choquet theory to linear operators
Author / Editor information
Walter Roth, Emeritus Professor, Philippines.
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
October 4, 2023
eBook ISBN:
9783111315478
Hardcover published on:
October 4, 2023
Hardcover ISBN:
9783111314501
Pages and Images/Illustrations in book
Front matter:
12
Main content:
254
Keywords for this book
Operator-Valued Measures; Integrals for Vector- and Set-Valued Functions; Integral Representations for Linear Operators; Choquet Theory for Linear Operators.
Audience(s) for this book
Institutional Libraries as well as researchers and graduate students in functional analysis.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
