The lattice copies of $\ell _1$ in Banach lattices

Marek Wójtowicz

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Displaying similar documents to “The lattice copies of $ℓ_{1}$ in Banach lattices”

The almost lattice isometric copies of $c_{0}$ in Banach lattices

Jinxi Chen (2005)

Commentationes Mathematicae Universitatis Carolinae

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In this paper it is shown that if a Banach lattice $E$ contains a copy of $c_{0}$ , then it contains an almost lattice isometric copy of $c_{0}$ . The above result is a lattice version of the well-known result of James concerning the almost isometric copies of $c_{0}$ in Banach spaces.

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.

About the class of ordered limited operators

A. El Kaddouri, Mohammed Moussa (2013)

Acta Universitatis Carolinae. Mathematica et Physica

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We give a brief survey of recent results of order limited operators related to some properties on Banach lattices.

Displaying similar documents to “The lattice copies of ℓ 1 in Banach lattices”

The almost lattice isometric copies of c 0 in Banach lattices

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

About the class of ordered limited operators

Displaying similar documents to “The lattice copies of $ℓ_{1}$ in Banach lattices”

The almost lattice isometric copies of $c_{0}$ in Banach lattices

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