Approximate amenability for Banach sequence algebras

Dales, H.G. and Loy, Richard J. and Zhang, Y. (2006) Approximate amenability for Banach sequence algebras. Studia Mathematica, 177 (1). pp. 81-96. ISSN 0039-3223

Abstract

We consider when certain Banach sequence algebras A on the set N are approximately amenable. Some general results are obtained, and we resolve the special cases where A=ℓp for 1≤p<∞, showing that these algebras are not approximately amenable. The same result holds for the weighted algebras ℓp(ω).