Integral Representation: Choquet Theory for Linear Operators on Function Spaces

By Walter Roth

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.

• Format: Hardcover
• Language: English
• ISBN: 3111314502
• ISBN13: 9783111314501
• Release Date: October 2023
• Publisher: de Gruyter
• Length: 266 Pages
• Weight: 1.37 lbs.
• Dimensions: 0.6" x 6.7" x 9.6"
• Grade Range: Postsecondary