On the lower semi-continuity of the set valued metric projection.

Sejeeni, Fowzi Ahmad

Displaying similar documents to “On the lower semi-continuity of the set valued metric projection.”

Some results on injective Banach lattices

L. Tzafriri (1979-1980)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

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Domination by positive Banach-Saks operators

Julio Flores, César Ruiz (2006)

Studia Mathematica

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Given a positive Banach-Saks operator T between two Banach lattices E and F, we give sufficient conditions on E and F in order to ensure that every positive operator dominated by T is Banach-Saks. A counterexample is also given when these conditions are dropped. Moreover, we deduce a characterization of the Banach-Saks property in Banach lattices in terms of disjointness.

An absolute continuity for positive operators on Banach lattices.

Feldman, W., Piston, C., Piston, Calvin E. (1991)

International Journal of Mathematics and Mathematical Sciences

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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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Factorization and domination of positive Banach-Saks operators

Julio Flores, Pedro Tradacete (2008)

Studia Mathematica

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It is proved that every positive Banach-Saks operator T: E → F between Banach lattices E and F factors through a Banach lattice with the Banach-Saks property, provided that F has order continuous norm. By means of an example we show that this order continuity condition cannot be removed. In addition, some domination results, in the Dodds-Fremlin sense, are obtained for the class of Banach-Saks operators.

Generalized Alexandroff Duplicates and CD 0(K) spaces

Mert Çaglar, Zafer Ercan, Faruk Polat (2006)

Open Mathematics

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We define and investigateCD Σ,Γ(K, E)-type spaces, which generalizeCD 0-type Banach lattices introduced in [1]. We state that the space CD Σ,Γ(K, E) can be represented as the space of E-valued continuous functions on the generalized Alexandroff Duplicate of K. As a corollary we obtain the main result of [6, 8].

Tensor products of Banach lattices with Applications to the local structure of Banach lattices and spaces of absolutely summing operators

Nielsen, N. J.

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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 $ℓ_{\infty}$ -cases considered by Lozanovskii, Mekler and Meyer-Nieberg.

Resolving Banach spaces

Richard Evans (1981)

Studia Mathematica

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