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math.FA2023
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].
math.FA2023
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. )…
math.FA2023
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…