Approximate and weak amenability of certain Banach algebras

@article{P2010,
abstract = {The notions of approximate amenability and weak amenability in Banach algebras are formally stronger than that of approximate weak amenability. We demonstrate an example confirming that approximate weak amenability is indeed actually weaker than either approximate or weak amenability themselves. As a consequence, we examine the (failure of) approximate amenability for $ℓ^\{p\}$-sums of finite-dimensional normed algebras.},
author = {P. Bharucha, R. J. Loy},
journal = {Studia Mathematica},
keywords = {approximate amenability; weak amenability},
language = {eng},
number = {2},
pages = {195-204},
title = {Approximate and weak amenability of certain Banach algebras},
url = {http://eudml.org/doc/285538},
volume = {197},
year = {2010},
}

TY - JOUR
AU - P. Bharucha
AU - R. J. Loy
TI - Approximate and weak amenability of certain Banach algebras
JO - Studia Mathematica
PY - 2010
VL - 197
IS - 2
SP - 195
EP - 204
AB - The notions of approximate amenability and weak amenability in Banach algebras are formally stronger than that of approximate weak amenability. We demonstrate an example confirming that approximate weak amenability is indeed actually weaker than either approximate or weak amenability themselves. As a consequence, we examine the (failure of) approximate amenability for $ℓ^{p}$-sums of finite-dimensional normed algebras.
LA - eng
KW - approximate amenability; weak amenability
UR - http://eudml.org/doc/285538
ER -