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

Authorsزینب سلطانی رنانی,مرتضی علیخانی
JournalAdvances in Operator Theory
Page number1
Volume number6
IFثبت نشده
Paper TypeFull Paper
Published At2021-02-10
Journal GradeScientific - research
Journal TypeElectronic
Journal CountryIran, Islamic Republic Of
Journal IndexSCOPUS

Abstract

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.

tags: p-(V ) sets  p-(V ) sets  p-convergent operators  (wV ) and (wV ) property