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