Vol. 78, No. 2, 1978

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
The Journal
Editorial Board
Special Issues
Submission Guidelines
Submission Form
Author Index
To Appear
ISSN: 0030-8730
The evolution of bounded linear functionals with application to invariant means

Hadi Kharaghani

Vol. 78 (1978), No. 2, 369–374

Let S be a topological semigroup and let X be a left translation invariant, left introverted closed subspace of CB(S). Let m and μ be elements of X, where μ(f) = f dμ for f in CB(S) and μ is a measure on S which lives on a suitable set. It is shown that the evolution and convolution of m and μ coincide. The same argument carries over to prove that if X W(S), then the evolution and convolution of m and n in X are the same (a known result). The topological invariance of invariant means on X is discussed.

Mathematical Subject Classification 2000
Primary: 43A07
Secondary: 22A20
Received: 3 May 1977
Revised: 4 January 1978
Published: 1 October 1978
Hadi Kharaghani
Mathematics & Computer Science
University of Lethbridge
C568 University Hall
Alberta AB T1K 3M4