Vol. 33, No. 2, 1970

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 328: 1
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Vol. 321: 1  2
Online Archive
The Journal
Editorial Board
Submission Guidelines
Submission Form
Policies for Authors
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
Other MSP Journals
Extremely amenable algebras

Anthony To-Ming Lau

Vol. 33 (1970), No. 2, 329–336

Let S be a semigroup and m(S) the space of bounded real functions on S. A subalgebra of m(,S) is extremely left amenable (ELA) if it is (sup) norm closed, left translation invariant, containing constants and has a multiplicative left invariant mean. S is ELA if m(S) is ELA. In this paper, we give a method in constructing all ELA subalgebras of m(S); it turns out that any such subalgebra of m(S) is contained in an ELA subalgebra which is the uniform limit of certain classes of simple functions on S.

Mathematical Subject Classification
Primary: 20.92
Received: 20 June 1969
Published: 1 May 1970
Anthony To-Ming Lau