Integral Representation: Choquet Theory for Linear Operators on Function Spaces

Walter Roth

2023년 10월 · De Gruyter Expositions in Mathematics 74권 · Walter de Gruyter GmbH & Co KG

eBook 정보

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.

저자 정보

Walter Roth, Emeritus Professor, Philippines.