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HOMOMORPHISMS OF $\ell ^{1}$-MUNN ALGEBRAS AND APPLICATIONS TO SEMIGROUP ALGEBRAS

Published online by Cambridge University Press:  02 April 2015

MAEDEH SOROUSHMEHR*
Affiliation:
Department of Mathematics, Faculty of Mathematical Science and Computer, Kharazmi University, 50 Taleghani Avenue, 64518, Tehran, Iran email std_soroushmehr@khu.ac.ir
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Abstract

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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.

Type
Research Article
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

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