Geodesic
Limited $p$-converging operators and relation with some geometric properties of Banach spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 62 (2021) no. 4, pp. 417-430.

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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 Pelczyński's property of order $p$, $1\leq p\infty$.
DOI : 10.14712/1213-7243.2021.030
Classification : 46B25, 47L05
Keywords: Gelfand--Phillips property; Schur property; $p$-Schur property; weakly $p$-compact set; reciprocal Dunford--Pettis property of order $p$ 
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Dehghani, Mohammad B.; Moshtaghioun, Seyed M. Limited $p$-converging operators and relation with some geometric properties of Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 62 (2021) no. 4, pp. 417-430. doi : 10.14712/1213-7243.2021.030. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.030/

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