Duals and topological center of a class of matrix algebras with applications
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- by G. H. Esslamzadeh PDF
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Abstract:
We characterize the topological center of a class of matrix algebras, which are called $\ell ^{1}$-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.References
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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
- 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
- © Copyright 2000 American Mathematical Society
- 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
- MathSciNet review: 1694860