Vol. 62, No. 1, 1976

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Editorial Board
Subscriptions
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Author Index
To Appear
 
Other MSP Journals
A characterization of topological left thick subsets in locally compact left amenable semigroups

James Chin-Sze Wong

Vol. 62 (1976), No. 1, 295–303
Abstract

In this paper, we define the concept of topological left thick subsets in a locally compact semigroup which is a generalisation and extension of the concept of left thick subsets in (discrete) semigroups introduced by T. Mitchell and prove that if T is a Borel measurable subset of a locally compact left amenable semigroup S, then T is topological left thick if and only if there is a topological left invariant mean M on S such that M(χT) = 1 where χT is the characteristic functional of T in S, thus generalising, and extending a result of Mitchell for (discrete) semigroup.

Mathematical Subject Classification 2000
Primary: 43A07
Milestones
Received: 8 July 1975
Published: 1 January 1976
Authors
James Chin-Sze Wong