EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 11 Next

Displaying 201 – 220 of 248

The ideal property of tensor products of Banach lattices with applications to the local structure of spaces of absolutely summing operators

N. Nielsen (1982)

Studia Mathematica

The Laplace transform of measures on the cone of a vector lattice.

Egbert Dettweiler (1979)

Mathematica Scandinavica

The lattice copies of $ℓ_{1}$ in Banach lattices

Marek Wójtowicz (2001)

Commentationes Mathematicae Universitatis Carolinae

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.

The lattice-almost isometric copies of $l^{1}$ and $l^{\infty}$ in Banach lattices.

Chen, Jinxi (2006)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

The lattice-isometric copies of $ℓ_{\infty} (Γ)$ in quotients of Banach lattices.

Wójtowicz, Marek (2003)

International Journal of Mathematics and Mathematical Sciences

The Modulus of a Weakly Compact Operator.

G. Groenewegen, A. van Rooij (1987)

Mathematische Zeitschrift

The order structure of the space of measures with continuous translation

Gérard L. G. Sleijpen (1982)

Annales de l'institut Fourier

Let $G$ be a locally compact group, and let $∥ ∥_{\infty}^{B}$ be a function norm on $L^{1} (G)_{loc}$ such that the space $L^{\infty} (G, B)$ of all locally integrable functions with finite $∥ ∥_{\infty}^{B}$ -norm is an invariant solid Banach function space. Consider the space $L_{RUC} (G, B)$ of all functions in $L^{\infty} (G, B)$ of which the right translation is a continuous map from $G$ into $L^{\infty} (G, B)$ . Characterizations of the case where $L_{RUC} (G, B)$ is a Riesz ideal of $L^{\infty} (G, B)$ are given in terms of the order-continuity of $∥ ∥_{\infty}^{B}$ on certain subspaces of $L^{\infty} (G)$ . Throughout the paper, the discussion is carried out in the context...

The order $σ$ -complete vector lattice of AM-compact operators

Belmesnaoui Aqzzouz, Redouane Nouira (2009)

Czechoslovak Mathematical Journal

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 $E$ into a Banach lattice $F$ is an order $σ$ -complete vector lattice.

The positive cone of a Banach lattice. Coincidence of topologies and metrizability

Zbigniew Lipecki (2023)

Commentationes Mathematicae Universitatis Carolinae

Let $X$ be a Banach lattice, and denote by $X_{+}$ its positive cone. The weak topology on $X_{+}$ is metrizable if and only if it coincides with the strong topology if and only if $X$ is Banach-lattice isomorphic to $l^{1} (Γ)$ for a set $Γ$ . The weak $^{*}$ topology on $X_{+}^{*}$ is metrizable if and only if $X$ is Banach-lattice isomorphic to a $C (K)$ -space, where $K$ is a metrizable compact space.

We characterize Banach lattices on which every positive almost Dunford-Pettis operator is weakly compact.

Currently displaying 201 – 220 of 248

Previous Page 11 Next

Displaying 201 – 220 of 248

The ideal property of tensor products of Banach lattices with applications to the local structure of spaces of absolutely summing operators

The Laplace transform of measures on the cone of a vector lattice.

The lattice copies of $ℓ_{1}$ in Banach lattices

The lattice-almost isometric copies of $l^{1}$ and $l^{\infty}$ in Banach lattices.

The lattice-isometric copies of $ℓ_{\infty} (Γ)$ in quotients of Banach lattices.

The Modulus of a Weakly Compact Operator.

The order structure of the space of measures with continuous translation

The order $σ$ -complete vector lattice of AM-compact operators

The positive cone of a Banach lattice. Coincidence of topologies and metrizability

The Projection onto the Center of Operators in a Banach Lattice.

The uniform zero-two law for positive operators in Banach lattices

The universal right K-property for some interpolation spaces

The weak compactness of almost Dunford-Pettis operators

The weak distance between Banach spaces with a symmetric basis.

Über das Spektrum positiver Generatoren.

Über eine Klasse symmetrischer idealer Funktionenräume nebst Anwendungen

Über symmetrische Operatoren auf Banachverbänden und Arens-Regularität

Ultraproducts in Banach space theory.

Un espace de Banach réticulé qui a presque la propriété de Radon-Nikodym

Une remarque sur les espaces de Banach réticulés

Currently displaying 201 – 220 of 248