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The $b$ -weak compactness of weak Banach-Saks operators

Belmesnaoui Aqzzouz, Othman Aboutafail, Taib Belghiti, Jawad H'michane (2013)

Mathematica Bohemica

We characterize Banach lattices on which every weak Banach-Saks operator is b-weakly compact.

The base-normed space of a unital group

Thurlow A. Cook, David J. Foulis (2004)

Mathematica Slovaca

The distance from a point to a cone in a Hilbert space.

Khudalov, V.T. (1999)

Vladikavkazskiĭ Matematicheskiĭ Zhurnal

The order $σ$ -complete vector lattice of AM-compact operators

Belmesnaoui Aqzzouz, Redouane Nouira (2009)

Czechoslovak Mathematical Journal

We establish necessary and sufficient conditions under which the linear span of positive AM-compact operators (in the sense of Fremlin) from a Banach lattice $E$ into a Banach lattice $F$ is an order $σ$ -complete vector lattice.

The weak compactness of almost Dunford-Pettis operators

Belmesnaoui Aqzzouz, Aziz Elbour, Othman Aboutafail (2011)

Commentationes Mathematicae Universitatis Carolinae

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

$σ$ -porosity in monotonic analysis with applications to optimization.

Rubinov, A.M. (2005)

Abstract and Applied Analysis

О дифференциальных свойствах модулей выпуклости банаховых пространств

В.И. Гурарий (1967)

Matematiceskie issledovanija