Vol. 31, No. 3, 1969

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 294: 1
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
Gleason parts and Choquet boundary points in convolution measure algebras

Richard Roy Miller

Vol. 31 (1969), No. 3, 755–771
Abstract

Let M be a semisimple convolution measure algebra with structure semigroup S. Then each complex homomorphism of M is given by integrating a semicharacter on S. Gleason parts can be defined on Ŝ, the set of semicharacters on S, by considering the function algebra obtained from the transforms of elements of M. We give a partial characterization of the parts of Ŝ utilizing only the functional values of the elements of Ŝ. We then completely characterize the one point parts of Ŝ utilizing only the functional values of elements of Ŝ.

Mathematical Subject Classification
Primary: 46.80
Milestones
Received: 8 July 1969
Published: 1 December 1969
Authors
Richard Roy Miller