On the Dunford-Pettis property

Bombal, Fernando

Displaying similar documents to “On the Dunford-Pettis property”

A new operator characterization of the Dunford-Pettis property

Fernando Bombal Gordon (1987)

Extracta Mathematicae

Similarity:

A new proof that every weakly compact operator with domain L(μ) is representable.

Diómedes Bárcenas (1991)

Extracta Mathematicae

Similarity:

Almost Weakly Compact Operators

Ioana Ghenciu, Paul Lewis (2006)

Bulletin of the Polish Academy of Sciences. Mathematics

Similarity:

Dunford-Pettis type properties are studied in individual Banach spaces as well as in spaces of operators. Bibasic sequences are used to characterize Banach spaces which fail to have the Dunford-Pettis property. The question of whether a space of operators has a Dunford-Pettis property when the dual of the domain and the codomain have the respective property is studied. The notion of an almost weakly compact operator plays a consistent and important role in this study.

Dunford-Pettis-like properties of continuous vector function spaces.

Jesús M. Fernández Castillo, Fernando Sánchez (1993)

Revista Matemática de la Universidad Complutense de Madrid

Similarity:

The weak compactness of almost Dunford-Pettis operators

Belmesnaoui Aqzzouz, Aziz Elbour, Othman Aboutafail (2011)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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

On the equality between some classes of operators on Banach lattices

Belmesnaoui Aqzzouz, Aziz Elbour, Mohammed Moussa (2012)

Mathematica Bohemica

Similarity:

We establish some sufficient conditions under which the subspaces of Dunford-Pettis operators, of M-weakly compact operators, of L-weakly compact operators, of weakly compact operators, of semi-compact operators and of compact operators coincide and we give some consequences.

Polynomial characterizations of the Dunford-Pettis property.

Manuel González, Joaquín M. Gutiérrez (1991)

Extracta Mathematicae

Similarity:

We introduce and characterize the class P of polynomials between Banach spaces whose restrictions to Dunford-Pettis (DP) sets are weakly continuous. All the weakly compact and the scalar valued polynomials belong to P. We prove that a Banach space E has the Dunford-Pettis (DP) property if and only if every P ∈ P is weakly sequentially continuous. This result contains a characterization of the DP property given in [3], answering a question of Pelczynski: E has the DP property if and only...