Displaying similar documents to “Some permanence results of properties of Banach spaces”

An approach to Schreier's space.

Jesús M. Fernández Castillo, Manuel González (1991)

Extracta Mathematicae

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In 1930, J. Schreier [10] introduced the notion of admissibility in order to show that the now called weak-Banach-Saks property does not hold in every Banach space. A variation of this idea produced the Schreier's space (see [1],[2]). This is the space obtained by completion of the space of finite sequences with respect to the following norm: ||x||S = sup(A admissible) ∑j ∈ A |xj|, ...

The weak compactness of almost Dunford-Pettis operators

Belmesnaoui Aqzzouz, Aziz Elbour, Othman Aboutafail (2011)

Commentationes Mathematicae Universitatis Carolinae

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We characterize Banach lattices on which every positive almost Dunford-Pettis operator is weakly compact.