A version of the Grothendieck theorem for subspaces of analytic functions in lattices.
Anisimov, D.S. (2005)
Zapiski Nauchnykh Seminarov POMI
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Displaying similar documents to “Some results on injective Banach lattices”
A version of the Grothendieck theorem for subspaces of analytic functions in 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.
On forbidden configuration of pseudomodular lattices
Manoj Dhake, Sachin Ballal, Vilas Kharat, Rupesh S. Shewale (2025)
Mathematica Bohemica
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We characterize the pseudomodular lattices by means of a forbidden configuration.
On complemented strong lattices
Stern, Manfred (1989)
Portugaliae mathematica
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Application of Rademacher systems to operator characterizations of Banach lattices
Ju. A. Abramovič, L. P. Janovskiĭ (1982)
Colloquium Mathematicae
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A local characterization of Banach lattices with order continuous norm
S. Bernau, H. Lacey (1976)
Studia Mathematica
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Factoring Operators Through Banach Lattices Not Containing C(0, 1).
N. Ghoussoub, W.B. Johnson (1987)
Mathematische Zeitschrift
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On M-operators of q-lattices
Radomír Halaš (2002)
Discussiones Mathematicae - General Algebra and Applications
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It is well known that every complete lattice can be considered as a complete lattice of closed sets with respect to appropriate closure operator. The theory of q-lattices as a natural generalization of lattices gives rise to a question whether a similar statement is true in the case of q-lattices. In the paper the so-called M-operators are introduced and it is shown that complete q-lattices are q-lattices of closed sets with respect to M-operators.