A study of (wV)-like property on Banach spaces

摘要

In this paper, for 1 <= p <= q <= infinity we introduce the concept q-(wV) property of order p on Banach spaces in order to find some characterizations of p-converging operators which have weakly q-precompact adjoints. Also, we define the concept q-(wV*) property of order p on Banach spaces and obtain relations between these properties. Moreover, the stability of infinity-(wV) of order p for projective tensor product is given.