Relations between limit-point and Dirichlet properties of second-order difference operators.
Relations d'ordre dans les Banach : quelques applications à l'analyse
Relative rotundity in Lp(X).
Remark on our paper "On bases in Banach spaces" (Studia Math. 170 (2005), 147-171)
Remark on spline unconditional bases in
Remarks and examples concerning distance ellipsoids
We provide for every 2 ≤ k ≤ n an n-dimensional Banach space E with a unique distance ellipsoid such that there are precisely k linearly independent contact points between and . The corresponding result holds for spaces with non-unique distance ellipsoids as well. We construct n-dimensional Banach spaces E such that one distance ellipsoid has precisely k linearly independent contact points and all other distance ellipsoids have less than k-1 such points.
Remarks concerning the paper "On a class of Hausdorff compacts and GSG Banach spaces"
Remarks on a theorem of S.N. Bernstein
Remarks on asymptotic centers and fixed points.
Remarks on compact operators between interpolation spaces associated to polygons.
This note deals with interpolation methods defined by means of polygons. We show necessary and sufficient conditions for compactness of operators acting from a J-space into a K-space.
Remarks on continuous images of Radon-Nikodým compacta
A family of compact spaces containing continuous images of Radon-Nikod’ym compacta is introduced and studied. A family of Banach spaces containing subspaces of Asplund generated (i.e., GSG) spaces is introduced and studied. Further, for a continuous image of a Radon-Nikod’ym compact we prove: If is totally disconnected, then it is Radon-Nikod’ym compact. If is adequate, then it is even Eberlein compact.
Remarks on embeddable semigroups in groups and a generalization of some Cuthbert's results.
Remarks on independent sequences and dimension in topological linear spaces.
Remarks on interpolation of bilinear operators by methods associated to polygons
We study interpolation of bilinear operators by the polygons methods. We prove an interpolation theorem of type into spaces, and show the optimality of the precedings results.
Remarks on orthogonality preserving mappings in normed spaces and some stability problems.
Remarks on remotal sets in vector valued function spaces.
Remarks on rich subspaces of Banach spaces
We investigate rich subspaces of L₁ and deduce an interpolation property of Sidon sets. We also present examples of rich separable subspaces of nonseparable Banach spaces and we study the Daugavet property of tensor products.
Remarks on some properties in the geometric theory of Banach spaces
The aim of this paper is to derive some relationships between the concepts of the property of strong introduced recently by Hong-Kun Xu and the so-called characteristic of near convexity defined by Goebel and Sȩkowski. Particularly we provide very simple proof of a result obtained by Hong-Kun Xu.
Remarks on Strict Monotonicity and Surjectivity Properties of Duality Mappings Definied on Real Normed Linear Spaces.
Remarks on subdifferentials of convex functionals