Uniformly convex norms on Banach lattices
T. Figiel (1980)
Studia Mathematica
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Displaying similar documents to “A local characterization of Banach lattices with order continuous norm”
Uniformly convex norms on Banach lattices
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.
Biduals of p-lattice summing operators.
Beatriz Porras Pomares (1986)
Extracta Mathematicae
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The almost lattice isometric copies of 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 contains a copy of , then it contains an almost lattice isometric copy of . The above result is a lattice version of the well-known result of James concerning the almost isometric copies of in Banach spaces.
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.