Operator-Valued Measures and Integrals for Cone-Valued Functions

• Main Author: Roth, Walter. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Lecture Notes in Mathematics, 1964
• Subjects: Mathematics.; Functional analysis.; Measure and Integration.; Functional Analysis.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-87565-9

Integration theory deals with extended real-valued, vector-valued, or operator-valued measures and functions. Different approaches are applied in each of these cases using different techniques. The order structure of the (extended) real number system is used for real-valued functions and measures, w...

Table of Contents:

• Introduction
• 1. Locally Convex Cones
• 2. Measures and Integrals. The General Theory
• 3. Measures on Locally Compact Spaces
• List of Symbols
• Bibliography
• Index.