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HOMOMORPHISMS OF $\ell ^{1}$-MUNN ALGEBRAS AND APPLICATIONS TO SEMIGROUP ALGEBRAS
Published online by Cambridge University Press: 02 April 2015
Abstract
In this paper, for an arbitrary $\ell ^{1}$-Munn algebra $\mathfrak{A}$ over a Banach algebra $A$ with a sandwich matrix $P$, we characterise all homomorphisms from $\mathfrak{A}$ to a commutative Banach algebra $B$. Especially, we study the character space of this algebra. Then, as an application, its character amenability is investigated. Finally, we apply these results to certain semigroups, which are called Rees matrix semigroups.
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- Research Article
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- © 2015 Australian Mathematical Publishing Association Inc.
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