133 research outputs found
Weak amenability of weighted group algebras
In this paper, we study weak amenability of Beurling algebras. To this end,
we introduce the notion inner quasi-additive functions and prove that for a
locally compact group , the Banach algebra is weakly
amenable if and only if every non-inner quasi-additive function in is unbounded. This provides an answer to the question concerning
weak amenability of and improve some known results in
connection with it
Weak amenability of weighted measure algebras and their second duals
In this paper, we study the weak amenability of weighted measure algebras and
prove that is weakly amenable if and only if is discrete and
every bounded quasi-additive function is inner. We also study the weak
amenability of and and show that the
weak amenability of theses Banach algebras are equivalent to finiteness of .
This gives an answer to the question concerning weak amenability of and
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