Abstract
The problem of defining vector-valued probability measures on a compact semitopological semigroup S is considered in this paper. The set PW( S, A) of all such A-valued measures, analogous to the scalar-valued measures, is a compact semitopological semigroup with respect to the convolution operation and the weak operator topology. Supports of idempotents and the limits of averaged convolution sequences in PW( S, A) are determined.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
