A characterization of Valdivia compact spaces.
A compact convex set with no extreme points
A converse to Amir-Lindenstrauss theorem in complex Banach spaces.
We show that a complex Banach space is weakly Lindelöf determined if and only if the dual unit ball of any equivalent norm is weak* Valdivia compactum. We deduce that a complex Banach space X is weakly Lindelöf determined if and only if any nonseparable Banach space isomorphic to a complemented subspace of X admits a projectional resolution of the identity. These results complete the previous ones on real spaces.
A Criterion for an Operator with Real Spectrum to Be of Scalar-type.
A General Approach to the Notion of Silov Boundary.
A new extension of Komlós' theorem in infinite dimensions. Application: Weak compactness in .
A Note on compactness in Banach spaces.
A Note on Extreme Positive Definite Matrices.
A note on reflexivity of projective tensor products
A quantitative version of Krein's theorem.
A quantitative version of Krein's Theorem on convex hulls of weak compact sets is proved. Some applications to weakly compactly generated Banach spaces are given.
A Result on Equicontinuous Sets of Operators on Nuclear Fréchet Spaces Related to the Bounded Approximation Property.
Affine Flows and Distal Points.
An extension of Amir-Lindenstrauss theorem.
An extension of the Krein-Smulian theorem.
Let X be a Banach space, u ∈ X** and K, Z two subsets of X**. Denote by d(u,Z) and d(K,Z) the distances to Z from the point u and from the subset K respectively. The Krein-Smulian Theorem asserts that the closed convex hull of a weakly compact subset of a Banach space is weakly compact; in other words, every w*-compact subset K ⊂ X** such that d(K,X) = 0 satisfies d(cow*(K),X) = 0.We extend this result in the following way: if Z ⊂ X is a closed subspace of X and K ⊂ X** is a w*-compact subset of...
Aronszajn orderings.
Arzela - Ascoli's Theorem for Riemann - Integrable Functions on Compact Spaces.