Approximate amenability for Banach sequence algebras

54 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Banach Algebras on Semigroups and on Their Compactifications (2010, background): “It is shown in [26] that the Banach function algebras ` p (for p ≥ 1), which are weakly amenable, are not approximately amenable.”
Approximate and pseudo-amenability of various classes of Banach algebras (2008, background): “In this article we continue the investigation of various notions of approximate amenability, initiated in [11] and continued in papers by various authors: see, for instance, [5,14,21,25].”
Pseudo-amenable and pseudo-contractible Banach algebras (2007, background): “For example, it is not hard to see that the Banach sequence algebras p, 1 p < ∞, under pointwise multiplication are pseudo-contractible and hence are pseudo-amenable, but recently it has been established in [6] that these algebras are not approximately amenable.”
Generalized notions of amenability, II (2004, background): “In fact it is never approximately amenable [6].”