Mohammad B. Dehghani, Seyed M. Moshtaghioun
Limited p-converging operators and relation with some geometric properties of Banach spaces

Comment.Math.Univ.Carolin. 62,4 (2021) 417-430.

Abstract: By using the concepts of limited p-converging operators between two Banach spaces X and Y, L_p-sets and L_p-limited sets in Banach spaces, we obtain some characterizations of these concepts relative to some well-known geometric properties of Banach spaces, such as *-Dunford-Pettis property of order p and PelczyƄski's property of order p, 1\leq p<\infty.

Keywords: Gelfand-Phillips property; Schur property; p-Schur property; weakly p-compact set; reciprocal Dunford-Pettis property of order p

DOI: DOI 10.14712/1213-7243.2021.030
AMS Subject Classification: 47L05 46B25