Geodesic
Some properties of weak Banach-Saks operators
Mathematica Bohemica, Tome 146 (2021) no. 4, pp. 407-418
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We establish necessary and sufficient conditions under which weak Banach-Saks operators are weakly compact (respectively, {\rm L}-weakly compact; respectively, {\rm M}-weakly compact). As consequences, we give some interesting characterizations of order continuous norm (respectively, reflexive Banach lattice).
We establish necessary and sufficient conditions under which weak Banach-Saks operators are weakly compact (respectively, {\rm L}-weakly compact; respectively, {\rm M}-weakly compact). As consequences, we give some interesting characterizations of order continuous norm (respectively, reflexive Banach lattice).
DOI : 10.21136/MB.2020.0055-18
Classification : 46A40, 46B40, 46B42
Keywords: weak Banach-Saks operator; weakly compact operator; {\rm L}-weakly compact operator; {\rm M}-weakly compact operator; order continuous norm, positive Schur property; reflexive Banach space 
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Aboutafail, Othman; Zraoula, Larbi; Hafidi, Noufissa. Some properties of weak Banach-Saks operators. Mathematica Bohemica, Tome 146 (2021) no. 4, pp. 407-418. doi: 10.21136/MB.2020.0055-18

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