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Banach Algebra Structure and Amenability of a Class of Matrix Algebras with Applications

✍ Scribed by G.H. Esslamzadeh

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
163 KB
Volume
161
Category
Article
ISSN
0022-1236

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✦ Synopsis

We introduce a new category of Banach algebras, l 1 -Munn algebras which we use as a tool in the study of semigroup algebras. Then we characterize amenable l 1 -Munn algebras and also semisimple ones in this category. Applying these results to the semigroup algebras provides some characterizations of amenable semigroup algebras. We also provide a counter example to a conjecture of Duncan and Paterson.

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