Best order conditions in linear spaces, with applications to limitation, inclusion and high indices theorems for ordinary and absolute Riesz means
Bicontractive projections in sequence spaces and a few related kinds of maps
Bi-locally convex spaces
Bounded and unbounded operators between Köthe spaces
We study in terms of corresponding Köthe matrices when every continuous linear operator between two Köthe spaces is bounded, the consequences of the existence of unbounded continuous linear operators, and related topics.
Bounded linear maps between (LF)-spaces.
Characterizations of pairs (E,F) of complete (LF)?spaces such that every continuous linear map from E to F maps a 0?neighbourhood of E into a bounded subset of F are given. The case of sequence (LF)?spaces is also considered. These results are similar to the ones due to D. Vogt in the case E and F are Fréchet spaces. The research continues work of J. Bonet, A. Galbis, S. Önal, T. Terzioglu and D. Vogt.
Bounded variation functions of order k on sequence spaces.
In this paper we generalize some results concerning bounded variation functions on sequence spaces.
Br-Complete Spaces which are not B-Complete.
Brève communication. Un théorème de caractérisation de certains sous-espaces hilbertiens de
Burnside's Theorem for the Fréchet Space .
-wedge and weak -wedge FK-spaces
Calculating norms in the spaces and .
Calculations in new sequence spaces
In this paper we define new sequence spaces using the concepts of strong summability and boundedness of index of -th order difference sequences. We establish sufficient conditions for these spaces to reduce to certain spaces of null and bounded sequences.
Calculations on some sequence spaces.
Casinormalidad en los espacios escalonados de Koethe-Lorentz con valores vectoriales.
C-bases en espacios producto.
Cesàro wedge and weak Cesàro wedge -spaces
In this paper we deal with Cesàro wedge and weak Cesàro wedge -spaces, and give several characterizations. Some applications of these spaces to general summability domains are also studied.
Characterization of entire sequences via double Orlicz space.
Characterization of subspaces and quotients of nuclear -spaces
Characterizing discrete vector lattices
Characterizing Fréchet-Schwartz spaces via power bounded operators
We characterize Köthe echelon spaces (and, more generally, those Fréchet spaces with an unconditional basis) which are Schwartz, in terms of the convergence of the Cesàro means of power bounded operators defined on them. This complements similar known characterizations of reflexive and of Fréchet-Montel spaces with a basis. Every strongly convergent sequence of continuous linear operators on a Fréchet-Schwartz space does so in a special way. We single out this type of "rapid convergence" for a sequence...