IJPAM: Volume 19, No. 4 (2005)

SUPPORTS OF IDEMPOTENTS AND THE LIMITS
OF AVERAGED CONVOLUTION SEQUENCES

A.K. Gaur
Department of Mathematics
Duquesne University
600 Forbes Avenue, Pittsburgh, PA 15282, USA
e-mail: gaur@mathcs.duq.edu


Abstract.In this note the supports of idempotents and the limits of averaged convolution sequences in the set of all Banach-valued probability measures on a compact semitopological semigroup are discussed.

Received: January 31, 2005

AMS Subject Classification: 46H05, 16G10, 28B10, 28C10

Key Words and Phrases: semitopological group, probability measures, Banach-valued measures

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 19
Issue: 4