Displaying similar documents to “Canonical embedding of function spaces into the topological bidual of 𝐂 ( K ; E ) .”

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.

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 ∞ -cases considered by Lozanovskii, Mekler and Meyer-Nieberg.

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 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.