Displaying similar documents to “Factorization of weakly compact operators between Banach spaces and Fréchet or (LB)-spaces”

Some properties of weak Banach-Saks operators

Othman Aboutafail, Larbi Zraoula, Noufissa Hafidi (2021)

Mathematica Bohemica

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We establish necessary and sufficient conditions under which weak Banach-Saks operators are weakly compact (respectively, L-weakly compact; respectively, M-weakly compact). As consequences, we give some interesting characterizations of order continuous norm (respectively, reflexive Banach lattice).

Small ball properties for Fréchet spaces.

Leonhard Frerick, Alfredo Peris (2003)

RACSAM

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We give characterizations of certain properties of continuous linear maps between Fréchet spaces, as well as topological properties on Fréchet spaces, in terms of generalizations of Behrends and Kadets small ball property.