Background
Type: Article

p-Convergent Operators and the p-Schur Property

Journal: Analysis Mathematica (1333852)Year: 2020Volume: Issue: 1Pages: 1 - 12
Alikhani M.Fakhar M.a Zafarani J.
DOI:10.1007/s10476-020-0011-4Language: English

Abstract

In this article we obtain a characterization of the class of p-convergent operators between two Banach spaces in terms of p-(V) subsets of the dual space. Also, for 1 ≤ p < q ≤ ∞, by introducing the concepts of Pelczyński's properties (V)p,q and (V*)p,q, we obtain a condition that ensures that q-convergent operators are p-convergent operators. Some characterizations of the p-Schur property of Banach spaces and their dual spaces are deduced. © 2020, Akadémiai Kiadó, Budapest.


Author Keywords

Dunford—Pettis property of order pp-(V) setp-(V*) setp-Schur property