Affiliation:
1. Department of Mathematics, University of Isfahan, Isfahan, Iran
Abstract
In this paper, we study first the concept of p-sequentially Right property,
which is p-version of the sequentially Right property. Also, we introduce a
new class of subsets of Banach spaces which is called p-Right* set and
obtain the relationship between p-Right subsets and p-Right* subsets of dual
spaces. Furthermore, for 1 ? p < q ? ?, we introduce the concepts of
properties (SR)p,q and (SR*)p,q in order to find a condition such that every
Dunford-Pettis q-convergent operator is Dunford-Pettis p-convergent.
Finally, we apply these concepts and obtain some characterizations of the
p-Dunford-Pettis relatively compact property of Banach spaces and their dual
spaces.
Publisher
National Library of Serbia
Cited by
3 articles.
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