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
Remarks on the complementability of spaces of Bochner integrable functions in spaces of vector measures
In the paper [5] L. Drewnowski and the author proved that if is a Banach space containing a copy of then is not complemented in and conjectured that the same result is true if is any Banach space without the Radon-Nikodym property. Recently, F. Freniche and L. Rodriguez-Piazza ([7]) disproved this conjecture, by showing that if is a finite measure and is a Banach lattice not containing copies of , then is complemented in . Here, we show that the complementability of in together...
Remarks on the Istratescu measure of noncompactness.
In this paper we give estimations of Istratescu measure of noncompactness I(X) of a set X C lp(E1,...,En) in terms of measures I(Xj) (j=1,...,n) of projections Xj of X on Ej. Also a converse problem of finding a set X for which the measure I(X) satisfies the estimations under consideration is considered.
Remarques sur un résultat non publié de B. Maurey
Renormalizations of Banach and locally convex algebras
Renorming and operators.
Renorming Banach spaces with many projections and smoothness properties.