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Problems concerning $n$ -weak amenability of a Banach algebra

Alireza Medghalchi; Taher Yazdanpanah — 2005

Czechoslovak Mathematical Journal

In this paper we extend the notion of $n$ -weak amenability of a Banach algebra $𝒜$ when $n \in ℕ$ . Technical calculations show that when $𝒜$ is Arens regular or an ideal in $𝒜^{* *}$ , then $𝒜^{*}$ is an $𝒜^{(2 n)}$ -module and this idea leads to a number of interesting results on Banach algebras. We then extend the concept of $n$ -weak amenability to $n \in ℤ$ .

Multipliers on $L (S), L {(S)}^{* }$ , and $L U C {(S)}^{}$ for a locally compact topological semigroup.

Medghalchi, Alireza — 2002

International Journal of Mathematics and Mathematical Sciences

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Problems concerning n -weak amenability of a Banach algebra

Multipliers on L ( S ) , L ( S ) * * , and L U C ( S ) * for a locally compact topological semigroup.

Problems concerning $n$ -weak amenability of a Banach algebra

Multipliers on $L (S), L {(S)}^{* }$ , and $L U C {(S)}^{}$ for a locally compact topological semigroup.