Approximate amenability for Banach sequence algebras

@article{H2006,
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 $A = ℓ^\{p\}$ for 1 ≤ p < ∞, showing that these algebras are not approximately amenable. The same result holds for the weighted algebras $ℓ^\{p\}(ω)$.},
author = {H. G. Dales, R. J. Loy, Y. Zhang},
journal = {Studia Mathematica},
keywords = {amenability; approximate amenability; approximately inner; Banach sequence algebra},
language = {eng},
number = {1},
pages = {81-96},
title = {Approximate amenability for Banach sequence algebras},
url = {http://eudml.org/doc/285132},
volume = {177},
year = {2006},
}

TY - JOUR
AU - H. G. Dales
AU - R. J. Loy
AU - Y. Zhang
TI - Approximate amenability for Banach sequence algebras
JO - Studia Mathematica
PY - 2006
VL - 177
IS - 1
SP - 81
EP - 96
AB - 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 $A = ℓ^{p}$ for 1 ≤ p < ∞, showing that these algebras are not approximately amenable. The same result holds for the weighted algebras $ℓ^{p}(ω)$.
LA - eng
KW - amenability; approximate amenability; approximately inner; Banach sequence algebra
UR - http://eudml.org/doc/285132
ER -