6 papers
A New Crossnorm That Preserves Unconditional Bases in Banach Spaces
Rafik Karkri, Samir Kabbaj
Let be a tensor norm (i.e., a uniform reasonable crossnorm) on the class of all algebraic tensor products of Banach spaces . We say that preserves unconditiona…
Besselian Schauder Frames and the Structure of Banach Spaces
Rafik Karkri
Schauder bases are fundamental tools for analyzing the structure of Banach spaces. In this work, we show that Besselian Schauder frames (BSF) play a similar role in certain context…
Perturbation of Schauder frames and besselian Schauder frames in Banach spaces
Samir Kabbaj, Rafik Karkri, Hicham Zoubeir
We consider the stability of Schauder frames and besselian Schauder frames under perturbations. Our results are inspirit close to the results of Heil [18].
On characterizations of a some classes of Schauder frames in Banach spaces
Rafik Karkri, Samir Kabbaj, Hamad Sidi Lafdal
In this paper, we prove the following results. There exists a Banach space without basis which has a Schauder frame. There exists an universal Banach space (resp. )…
On a class of Schauder frames in Banach spaces
Samir Kabbaj, Rafik Karkri, Zoubeir Hicham
In this paper, we give a characterization and a some properties of a besselian sequences, which allows us to build some examples of a besselian Schauder frames. Also for a reflexiv…
About Schauder frames and besselian Schauder frames of Banach spaces
Rafik Karkri, Hicham Zoubeir
In this paper, we introduce, for a separable Banach spacea new notion of besselian paires and of besselian Schauder frames for which we prove for some fundamental results.