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 Are Used To Extend Choquet Theory, Which Was Originally Formulated For Linear Functionals On Spaces Of Real-valued Functions, To Operators Of This Type.