Approximate injectivity of dual Banach algebras
نویسندگان
چکیده
منابع مشابه
Dual Banach algebras: representations and injectivity
We study representations of Banach algebras on reflexive Banach spaces. Algebras which admit such representations which are bounded below seem to be a good generalisation of Arens regular Banach algebras; this class includes dual Banach algebras as defined by Runde, but also all group algebras, and all discrete (weakly cancellative) semigroup algebras. Such algebras also behave in a similar way...
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chapters 1 and 2 establish the basic theory of amenability of topological groups and amenability of banach algebras. also we prove that. if g is a topological group, then r (wluc (g)) (resp. r (luc (g))) if and only if there exists a mean m on wluc (g) (resp. luc (g)) such that for every wluc (g) (resp. every luc (g)) and every element d of a dense subset d od g, m (r)m (f) holds. chapter 3 inv...
15 صفحه اولbounded approximate connes-amenability of dual banach algebras
we study the notion of bounded approximate connes-amenability for dual banach algebras and characterize this type of algebras in terms of approximate diagonals. we show that bounded approximate connes-amenability of dual banach algebras forces them to be unital. for a separable dual banach algebra, we prove that bounded approximate connes-amenability implies sequential approximate...
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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2013
ISSN: 1370-1444
DOI: 10.36045/bbms/1385390767