About the class of ordered limited operators

A. El Kaddouri; Mohammed Moussa

Displaying similar documents to “About the class of ordered limited operators”

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

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

Mathematica Bohemica

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

On operators fixing copies of $c_{o}$ and $ℓ_{\infty}$

N. Ghoussoub (1980-1981)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

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

Belmesnaoui Aqzzouz, Redouane Nouira (2009)

Czechoslovak Mathematical Journal

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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 lattice copies of $ℓ_{1}$ in Banach lattices

Marek Wójtowicz (2001)

Commentationes Mathematicae Universitatis Carolinae

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It is known that a Banach lattice with order continuous norm contains a copy of $ℓ_{1}$ if and only if it contains a lattice copy of $ℓ_{1}$ . The purpose of this note is to present a more direct proof of this useful fact, which extends a similar theorem due to R.C. James for Banach spaces with unconditional bases, and complements the $c_{0}$ - and $ℓ_{\infty}$ -cases considered by Lozanovskii, Mekler and Meyer-Nieberg.

Displaying similar documents to “About the class of ordered limited operators”

The b -weak compactness of weak Banach-Saks operators

On operators fixing copies of c o and ℓ ∞

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

The lattice copies of ℓ 1 in Banach lattices

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

On operators fixing copies of $c_{o}$ and $ℓ_{\infty}$

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

The lattice copies of $ℓ_{1}$ in Banach lattices