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

Esslamzadeh, G.

doi:10.1090/S0002-9939-00-05521-0

Duals and topological center of a class of matrix algebras with applications
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by G. H. Esslamzadeh PDF

Proc. Amer. Math. Soc. 128 (2000), 3493-3503 Request permission

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.

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