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math.FA2024

Construction of continuous K-g-Frames in Hilbert -Modules

Abdelilah Karara, Mohamed Rossafi, Mohammed Klilou +1

In this work, we provide some constructions and the sum of new continuous K-g-frames in Hilbert-Modules. We provide certain necessary and sufficient conditions for some a…

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

Pairs of Woven continuous frames in Hilbert spaces

Hafida Massit, Mohamed Rossafi, Samir Kabbaj

In this present paper we introduce weaving Hilbert space frames in the continuous case, we give new approaches for manufacturing pairs of woven continuous frames and we obtain new…

math.FA2023

--frames for Hilbert spaces and the -adjoint operator

Chaimae Mezzat, Samir Kabbaj, Abdelkarim Bourouihia

In this paper, we will generelize -frames; a new concept of frames for Hilbert spaces, by --frames. The idea is to take a sequence from a Banach space and see how it can b…

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…