TY - JOUR
T1 - One the weak amenability of A (X) and its relation with the approximation property
AU - Blanco, A.
PY - 2003/9/10
Y1 - 2003/9/10
N2 - We investigate the weak amenability of the algebra A(X) of approximable operators on a Banach space X, and its relation with the (bounded) approximation property. In particular, it will be shown that the (bounded) approximation property is neither necessary nor sufficient for the weak amenability of A(X).
AB - We investigate the weak amenability of the algebra A(X) of approximable operators on a Banach space X, and its relation with the (bounded) approximation property. In particular, it will be shown that the (bounded) approximation property is neither necessary nor sufficient for the weak amenability of A(X).
KW - Approximable operator
KW - Approximation property
KW - Banach algebra
KW - Weak amenability
UR - http://www.scopus.com/inward/record.url?scp=0042762622&partnerID=8YFLogxK
U2 - 10.1016/S0022-1236(02)00050-2
DO - 10.1016/S0022-1236(02)00050-2
M3 - Article
SN - 0022-1236
VL - 203
SP - 1
EP - 26
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 1
ER -