module-amenability on module extension banach algebras
نویسندگان
چکیده
let a be a banach algebra and e be a banach a-bimodule then s = a e, the l1-direct sum of a and e becomes a module extension banach algebra when equipped with the algebras product (a; x):(a′; x′) = (aa′; a:x′ + x:a′). in this paper, we investigate △-amenability for these banach algebras and we show that for discrete inverse semigroup s with the set of idempotents es, the module extension banach algebra s = l1(es) l1(s) is △-amenable as a l1(es)-module if and only if l1(es) is amenable as banach algebra.
منابع مشابه
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عنوان ژورنال:
journal of linear and topological algebra (jlta)جلد ۱، شماره ۰۲، صفحات ۱۱۱-۱۱۴
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