On the Duals of Flat Banach Spaces.
On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in L²
On the existence of fundamental and total founded biorthogonal systems in Banach spaces
On the Gelfand-Phillips property in Banach spaces with PRI.
On the local moduli of squareness
We introduce the notions of pointwise modulus of squareness and local modulus of squareness of a normed space X. This answers a question of C. Benítez, K. Przesławski and D. Yost about the definition of a sensible localization of the modulus of squareness. Geometrical properties of the norm of X (Fréchet smoothness, Gâteaux smoothness, local uniform convexity or strict convexity) are characterized in terms of the behaviour of these moduli.
On the Numerical Range in Reflexive Banach Spaces.
On the p-drop theorem, 1 ≤ p ≤∞.
On the points of multivaluedness of metric projections in separable Banach spaces
On the separation of closed, convex sets
On the structure of Banach spaces with Mazur's intersection property.
On the "Three space problem".
On the weak-basis theorem
On ∆-uniform convexity and drop property
On weakly uniformly rotund spaces
On weighted James' spaces.
In this note we study the topological structure of weighted James spaces J(h). In particular we prove that J(h) is isomorphic to J if and only if the weight h is bounded. We also provide a description of J(h) if the weight is a non-decreasing sequence.
On ω*-basic sequences and their applications to the study of Banach spaces
Order continuous linear functionals on non-locally convex Orlicz spaces
The space of all order continuous linear functionals on an Orlicz space defined by an arbitrary (not necessarily convex) Orlicz function is described.
Orthogonal bases in 1∞ (X).