The lattice-isometric copies of in quotients of Banach lattices.
Wójtowicz, Marek (2003)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Canonical embedding of function spaces into the topological bidual of .”
The lattice-isometric copies of in quotients of Banach lattices.
A local characterization of Banach lattices with order continuous norm
S. Bernau, H. Lacey (1976)
Studia Mathematica
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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.
τ-smooth linear functionals on vector lattices of real-valued functions
Wolfgang Adamski (1986)
Studia Mathematica
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The lattice copies of 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 if and only if it contains a lattice copy of . 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 - and -cases considered by Lozanovskii, Mekler and Meyer-Nieberg.
The order -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 into a Banach lattice is an order -complete vector lattice.