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

چکیده مقاله

In this paper, for 1≤p≤q≤∞ 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 ∞-(wV) of order p for projective tensor product is given.