La propiedad de Orlicz-Pettis en análisis p-ádico.
La propiedad de Radon-Nikodym en espacios de Banach duales.
La propiedad de Radon-Nikodym σ-dentabilidad y martingalas en espacios localmente convexos.
Large subsets of dual Banach spaces
Lifting of certain isomorphic properties to .
Lifting Properties for Some Quotients of L1-Spaces and Other Spaces L-Summand in Their Bidual.
Linear topological properties of the Lumer-Smirnov class of the polydisc
Linear topological properties of the Lumer-Smirnov class of the unit polydisc are studied. The topological dual and the Fréchet envelope are described. It is proved that has a weak basis but it is nonseparable in its original topology. Moreover, it is shown that the Orlicz-Pettis theorem fails for .
Means on -subspaces of with RNP and Schur property
Let be a locally compact abelian group and be the space of bounded convolution...
Measures vectorielies, measures cylindriques et propriété de Radon-Nikodym
Metric spaces nonembeddable into Banach spaces with the Radon-Nikodým property and thick families of geodesics
We show that a geodesic metric space which does not admit bilipschitz embeddings into Banach spaces with the Radon-Nikodým property does not necessarily contain a bilipschitz image of a thick family of geodesics. This is done by showing that no thick family of geodesics is Markov convex, and comparing this result with results of Cheeger-Kleiner, Lee-Naor, and Li. The result contrasts with the earlier result of the author that any Banach space without the Radon-Nikodým property contains a bilipschitz...
Minimal convex-valued weak USCO correspondences
Minimal convex-valued weak USCO correspondences and the Radon-Nikodým property
More facts about conjugate Banach spaces with the Radon-Nikodym property
More facts about conjugate Banach spaces with the Radon-Nikodym property, II.
More facts about conjugate Banach spaces with the Radon-Nikodym property
Nonseparability of the quotient space cabv(∑,m;X)/L¹(m;X) for Banach spaces X without the Radon-Nikodym property
It is shown that if (S,∑,m) is an atomless finite measure space and X is a Banach space without the Radon-Nikodym property, then the quotient space cabv(∑,m;X)/L¹(m;X) is nonseparable.
Norm attaining bilinear forms on .
Norm attaining operators
Norm fragmented weak* compact sets.
A Banach space which is a Cech-analytic space in its weak topology has fourteen measure-theoretic, geometric and topological properties. In a dual Banach space with its weak-star topology essentially the same properties are all equivalent one to another.
On a class of Hausdorff compact and GSG Banach spaces