Tangent segments in Minkowski planes.
Tauberian operators on spaces
We characterize tauberian operators in terms of the images of disjoint sequences and in terms of the image of the dyadic tree in . As applications, we show that the class of tauberian operators is stable under small norm perturbations and that its perturbation class coincides with the class of all weakly precompact operators. Moreover, we prove that the second conjugate of a tauberian operator is also tauberian, and the induced operator is an isomorphism into. Also, we show that embeds...
Tensor product of stable measures in Banach spaces of stable type
Terminal subsets of convex sets in finite-dimensional real normed spaces
The approximation of continuous linear functionals.
The approximation property for a pair of Banach spaces.
The Banach space c0.
The Banach space S is complementably minimal and subsequentially prime
We first include a result of the second author showing that the Banach space S is complementably minimal. We then show that every block sequence of the unit vector basis of S has a subsequence which spans a space isomorphic to its square. By the Pełczyński decomposition method it follows that every basic sequence in S which spans a space complemented in S has a subsequence which spans a space isomorphic to S (i.e. S is a subsequentially prime space).
The Banach Spaces ...p(n) for large p and n.
The Banach-Saks property and Haar null sets
A characterization of Haar null sets in the sense of Christensen is given. Using it, we show that if the dual of a Banach space has the Banach-Saks property, then closed and convex subsets of with empty interior are Haar null.
The Banach-Saks property in rearrangement invariant spaces
This paper studies the Banach-Saks property in rearrangement invariant spaces on the positive half-line. A principal result of the paper shows that a separable rearrangement invariant space E with the Fatou property has the Banach-Saks property if and only if E has the Banach-Saks property for disjointly supported sequences. We show further that for Orlicz and Lorentz spaces, the Banach-Saks property is equivalent to separability although the separable parts of some Marcinkiewicz spaces fail the...
The best constants in the Khintchine inequality
The bottleneck conjecture.
The Cartan-Thullen theorem for Banach spaces
The Centralizer of Bochner L°°-Spaces.
The class of Banach spaces, which do not have c0 as a spreading model, is not L2-hereditary
The compact weak topology on a Banach space.
Throughout [this paper], E and F will denote Banach spaces. The bounded weak topology on a Banach space E, noted bw(E) or simply bw, is defined as the finest topology that agrees with the weak topology on bounded sets. It is proved in [3] that bw(E) is a locally convex topology if and only if E is reflexive.In this paper we introduce the compact weak topology on a Banach space E, noted kw(E) or simply kw, as the finest topology that agrees with the weak topology on weakly compact subsets. Equivalently,...
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 coordinatewise uniformly Kadec-Klee property in some Banach spaces.
The criteria for local uniform rotundity of Orlicz spaces