Separable quotients of Banach spaces.
In this survey we show that the separable quotient problem for Banach spaces is equivalent to several other problems for Banach space theory. We give also several partial solutions to the problem.
Sequential density techniques for an approximate Radon–Nikodým theorem.
Sobre los espacios de Orlicz de funciones vectoriales.
Sobre los teoremas de Lyapunov y de Radon-Nikodym.
Some aspects of convex analysis and the theory of Asplund spaces [Abstract of thesis]
Some characterizations of Banach lattices with the Schur property.
This note contains a short proof of the equivalence of the Schur and Dunford-Pettis properties in the class of discrete KB-spaces. We also present an operator characterization of the Schur property (Theorem 2) and we notice that Banach lattices which band hereditary l1 coincide with Banach lattices having the Schur property. (This characterization is due to Popa (1977)). Moreover, the paper offers examples of Banach lattices with the positive Schur property and without the Schur property and which...
Some Geometric and Topological Properties of the Unit Sphere in a Banach Space.
Some problems arising in connection with the theory of vector measures
Some properties of the vector-valued Banach ideal space E(X) derived from those of E and X.
Some remarks on Radon-Nikodym compact spaces
The class of quasi Radon-Nikodým compact spaces is introduced. We prove that this class is closed under countable products and continuous images. It includes the Radon-Nikodým compact spaces. Adapting Alster's proof we show that every quasi Radon-Nikodým and Corson compact space is Eberlein. This generalizes earlier results by J. Orihuela, W. Schachermayer, M. Valdivia and C. Stegall. Further the class of almost totally disconnected spaces is defined and it is shown that every quasi Radon-Nikodým...
Subspaces of which do not contain -isomorphically
Subspaces of the Bourgain-Delbaen space
It is shown that every infinite-dimensional closed subspace of the Bourgain-Delbaen space has a subspace isomorphic to some .
Sums of SCD sets and their applications to SCD operators and narrow operators
We answer two open questions concerning the recently introduced notions of slicely countably determined (SCD) sets and SCD operators in Banach spaces. An application to narrow operators in spaces with the Daugavet property is given.
Support functionals and their relation to the Radon-Nikodym property.
Sur la reproductibilite des espaces l...
The completely continuous property in Orlicz spaces.
We show that in Orlicz spaces equipped with Luxemburg norm and Orlicz norm, the RNP, CCP, PCP and CPCP are equivalent.
The dual of every Asplund space admits a projectional resolution of the identity
The dual of the James tree space is asymptotically uniformly convex
The dual of the James tree space is asymptotically uniformly convex.
The Dunford-Pettis property in C*-algebras
The Point of Continuity Property: Descriptive Complexity and Ordinal Index
∗ Supported by D.G.I.C.Y.T. Project No. PB93-1142Let X be a separable Banach space without the Point of Continuity Property. When the set of closed subsets of its closed unit ball is equipped with the standard Effros-Borel structure, the set of those which have the Point of Continuity Property is non-Borel. We also prove that, for any separable Banach space X, the oscillation rank of the identity on X (an ordinal index which quantifies the Point of Continuity Property) is determined by the subspaces...