A version of the Grothendieck theorem for subspaces of analytic functions in lattices.

Anisimov, D.S.

Displaying similar documents to “A version of the Grothendieck theorem for subspaces of analytic functions in lattices.”

Some results on injective Banach lattices

L. Tzafriri (1979-1980)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

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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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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.

Classification lattices are geometric for complete atomistic lattices

Hua Mao (2017)

Open Mathematics

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We characterize complete atomistic lattices whose classification lattices are geometric. This implies an proper solution to a problem raised by S. Radeleczki in 2002.

Factoring Operators Through Banach Lattices Not Containing C(0, 1).

N. Ghoussoub, W.B. Johnson (1987)

Mathematische Zeitschrift

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The amalgamation property of varieties determined by primitive lattices

Václav Slavík (1980)

Commentationes Mathematicae Universitatis Carolinae

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A characterization of uninorms on bounded lattices via closure and interior operators

Gül Deniz Çayli (2023)

Kybernetika

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Uninorms on bounded lattices have been recently a remarkable field of inquiry. In the present study, we introduce two novel construction approaches for uninorms on bounded lattices with a neutral element, where some necessary and sufficient conditions are required. These constructions exploit a t-norm and a closure operator, or a t-conorm and an interior operator on a bounded lattice. Some illustrative examples are also included to help comprehend the newly added classes of uninorms. ...

How many four-generated simple lattices

Ivan Rival, Bill Sands (1982)

Banach Center Publications

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Stone Lattices

Adam Grabowski (2015)

Formalized Mathematics

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The article continues the formalization of the lattice theory (as structures with two binary operations, not in terms of ordering relations). In the paper, the notion of a pseudocomplement in a lattice is formally introduced in Mizar, and based on this we define the notion of the skeleton and the set of dense elements in a pseudocomplemented lattice, giving the meet-decomposition of arbitrary element of a lattice as the infimum of two elements: one belonging to the skeleton, and the...