Duals and topological center of a class of matrix algebras with applications
Author:
G. H. Esslamzadeh
Journal:
Proc. Amer. Math. Soc. 128 (2000), 34933503
MSC (2000):
Primary 43A20, 46H05
Published electronically:
May 18, 2000
MathSciNet review:
1694860
Fulltext PDF Free Access
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Abstract: We characterize the topological center of a class of matrix algebras, which are called Munn algebras. This involves a characterization of Arens regular semigroup algebras for a large class of semigroups, which is an extension of Young's Theorem for semigroups. We show by some counter examples that only up to a certain extent Young's Theorem can be generalized.
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Additional Information
G. H. Esslamzadeh
Affiliation:
Faculty of Mathematics and Computer Science, Tehran Polytechnic University, 424 Hafez Avenue, 15914 Tehran, Iran
Email:
hesslam@cic.aku.ac.ir
DOI:
http://dx.doi.org/10.1090/S0002993900055210
PII:
S 00029939(00)055210
Received by editor(s):
January 22, 1999
Published electronically:
May 18, 2000
Additional Notes:
This work was supported by a scholarship from MCHE, Iran, and also partially by the Department of Mathematical Sciences, University of Alberta. The author thanks both of these agencies for their kind support.
Communicated by:
Dale Alspach
Article copyright:
© Copyright 2000
American Mathematical Society
