Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Syndetic sets and amenability


Author: Vern I. Paulsen
Journal: Proc. Amer. Math. Soc. 140 (2012), 1997-2001
MSC (2010): Primary 43A07; Secondary 22A15
Published electronically: September 30, 2011
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We prove that if an infinite, discrete semigroup has the property that every right syndetic set is left syndetic, then the semigroup has a left invariant mean. We prove that the weak$ *$-closed convex hull of the two-sided translates of every bounded function on an infinite discrete semigroup contains a constant function. Our proofs use the algebraic properties of the Stone-Cech compactification.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 43A07, 22A15

Retrieve articles in all journals with MSC (2010): 43A07, 22A15


Additional Information

Vern I. Paulsen
Affiliation: Department of Mathematics, University of Houston, Houston, Texas 77204-3476
Email: vern@math.uh.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-11247-4
PII: S 0002-9939(2011)11247-4
Received by editor(s): February 2, 2011
Published electronically: September 30, 2011
Additional Notes: This research was supported in part by NSF grant DMS-0600191.
Communicated by: Thomas Schlumprecht
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.