Duals and topological center of a class of matrix algebras with applications

Author:
G. H. Esslamzadeh

Journal:
Proc. Amer. Math. Soc. **128** (2000), 3493-3503

MSC (2000):
Primary 43A20, 46H05

DOI:
https://doi.org/10.1090/S0002-9939-00-05521-0

Published electronically:
May 18, 2000

MathSciNet review:
1694860

Full-text PDF

Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9939-00-05521-0

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