Abstract :
We give for some Banach spaces X and Y examples of linear and continuous
operators U : C(T, X ) + Y , such that Uʹcp E As,(X, Y ) , for each cp E C(T) and
U#: C ( T ) + As,(X,Y) is a 2-absolutely summing operator with respect to the
2-absolute norm on As,(X, Y ) , but U is not 2-absolutely summing.
