S. Kabbaj

activity

20172023

C^{*}

-Modules

3 citations · 4 across the 31 of their papers we have counts for

collaborators

33 papers

math.FA2023

The topology of finite and infinite-dimensional Stiefel manifolds and the relation to Grassmannians

Nizar El Idrissi

Stiefel manifolds arise naturally as spaces of injective operators and as total spaces of principal bundles over Grassmannians. While their finite-dimensional topology is governed…

math.GM2023

On -fusion frames for Hilbert C-modules

Nadia Assila, Samir Kabbaj, Hicham Zoubeir

Our main goal in this paper, is to generalize to Hilbert C*-modules the concept of fusion frames. Indeed we introduce the notion of *ñfusion frames associated to weighted sequences…

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 $B$ (resp. $B ~$ )…

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

$K$ - $b$ -frames for Hilbert spaces and the $b$ -adjoint operator

Chaimae Mezzat, Samir Kabbaj, Abdelkarim Bourouihia

In this paper, we will generelize $b$ -frames; a new concept of frames for Hilbert spaces, by $K$ - $b$ -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…

math.FA2023

Controlled $$ -K-operator frame for $E n d_{A}^{} (H)$

Hatim Labrigui, Mohamed Rossafi, Abdeslam Touri +1

Frame Theory has a great revolution for recent years. This theory has been extended from Hilbert spaces to Hilbert $C^{*}$ -modules. In this paper, we introduce the concept of Co…

math.DS2022

Functions with a maximal number of finite invariant or internally-1-quasi-invariant sets or supersets

Nizar El Idrissi, Samir Kabbaj

A relaxation of the notion of invariant set, known as $k$ -quasi-invariant set, has appeared several times in the literature in relation to group dynamics. The results obtained in t…

math.FA2022★ 1 cited

On the minimal Sums of sequences in the tensor product of separable Hilbert spaces

Abdelkrim Bourouihiya, Samir Kabbaj

It is known that the tensor product of two sequences, in the tensor product of two separable Hilbert spaces, is a frame if and only if each component of that product is a frame. Th…

math.FA2022

On Some Inequalities-Equalities Concerning the continuous generalized Fusion Frame in Hilbert spaces

Nadia Assila, Samir Kabbaj, Ouafaa Bouftouh +1

Continuous generalized fusion frame theory was recently introduced by Rahimi and al. Several equalities and inequalities have been obtained for frame, fusion generalized fusion fra…

math.GN2022

Path-connectedness of the intersection of translates of St(n,H)

Nizar El Idrissi, Samir Kabbaj, Brahim Moalige

If $H$ is a Hilbert space, the Stiefel manifold $S t (n, H)$ is formed by all the independent $n$ -tuples in $H$ . In this article, we contribute to the topological study of Stiefel man…

math.OA2021

Robustness of controlled $K$ -Fusion Frame in Hilbert C $^{*}$ -modules under erasures of submodules

Nadia Assila, Samir Kabbaj, Mohamed Otmani

Controlled $*$ -K-fusion frames are generalization of controlled fusion frames in frame theory. In this paper, we propose the notion of controlled $*$ -k-fusions frames on Hilb…

math.FA2021

Independence, infinite dimension, and operators

Nizar El Idrissi, Samir Kabbaj

In [Appl. Comput. Harmon. Anal., 46(3):664-673, 2019], O. Christensen and M. Hasannasab observed that assuming the existence of an operator $T$ sending $e_{n}$ to $e_{n + 1}$ for all $…

math.FA2021

Intersections of translates of finite-dimensionally valued frame spaces are conditionally slice-full and almost slice-full

Nizar El Idrissi

In recent work, the topology of frame spaces $F_{(X, μ), n}$ has been studied via Stiefel manifolds, revealing in particular a connectedness property for intersections of t…

math.FA2021

Path-connectedness and topological closure of some sets related to the non-compact Stiefel manifold

Nizar El Idrissi, Samir Kabbaj, Brahim Moalige

If $H$ is a Hilbert space, the non-compact Stiefel manifold $S t (n, H)$ consists of independent $n$ -tuples in $H$ . In this article, we contribute to the topological study of non-comp…

math.FA2020

Integral $K$ -Operator Frames for $E n d_{A}^{*} (H)$

Hatim Labrigui, Samir Kabbaj

In this work, we introduce a new concept of integral $K$ -operator frame for the set of all adjointable operators from Hilbert $C^{*}$ -modules $H$ to it self noted $End…

math.FA2020

Controlled $$ -operator Frames for $E n d_{A}^{} (H)$

Abdeslam Touri, Hatim Labrigui, Samir Kabbaj

In this paper we study the concept of controlled $*$ -operator frmae for $E n d_{A}^{*} (H)$ . Also we discuss characterizations of controlled $*$ -operator…

math.FA2020

Controlled Integral Frames for Hilbert $C^{*}$ -Modules

Hatim Labrigui, Samir Kabbaj

The notion of controlled frames for Hilbert spaces were introduced by Balazs, Antoine and Grybos to improve the numerical efficiency of iterative algorithms for inverting the frame…

math.FA2020

Controlled K-operator frame for $E n d_{A}^{*} (H)$

Abdeslam Touri, Samir Kabbaj

Frame Theory has a great revolution for recent years. This theory has been extended from Hilbert spaces to Hilbert $C^{*}$ -modules. In this paper, we introduce the concept of Co…

math.FA2020

Integral $K$ -Operator Frames for $B (H)$

Hatim Labrigui, Mohamed Rossafi, Abdeslam Touri +1

In this paper, we will introduce a new notion, that of $K$ -Integral operator frames in the set of all bounded linear operators noted $B (H)$ , where $H$ is a separable Hilb…

math.FA2020

Controlled $K$ -Fusion Frame for Hilbert Spaces

N. Assila, S. Kabbaj, B. Moalige

$K$ -fusion frames are a generalization of fusion frames in frame theory. In this paper, we extend the concept of controlled fusion frames to controlled $K$ -fusion frames, and we de…

math.FA2020

Continuous Controlled K-G-Frames for Hilbert $C^{*}$ -modules

Abdeslam Touri, Hatim Labrigui, Samir Kabbaj

Frame Theory has a great revolution for recent years. This Theory has been extended from Hilbert spaces to Hilbert $C^{*}$ -modules. The purpose of this paper is the introduction…

math.FA2020

Continuous Controlled K-Frame for Hilbert $C^{*}$ -Modules

Hamid Faraj, Samir Kabbaj, Hatim Labrigui +2

In this paper, we introduce and we study the concept of Continuous Controlled K-Frame for Hilbert $C^{*}$ -Modules wich are generalizations of discrete Controlled K-Frames.

math.FA2020

Dual continuous $K$ -Frames in Hilbert spaces

Mohamed Rossafi, Brahim Moalige, Hamid Faraj +2

Frame theory is recently an active research area in mathematics, computer science and engineering with many exciting applications in a variety of different fields. This theory has…

The topology of finite and infinite-dimensional Stiefel manifolds and the relation to Grassmannians

On *-fusion frames for Hilbert C*-modules

On characterizations of a some classes of Schauder frames in Banach spaces

Pairs of Woven continuous frames in Hilbert spaces

K-b-frames for Hilbert spaces and the b-adjoint operator

On a class of Schauder frames in Banach spaces

Controlled ∗-K-operator frame for EndA∗​(H)

Functions with a maximal number of finite invariant or internally-1-quasi-invariant sets or supersets

On the minimal Sums of sequences in the tensor product of separable Hilbert spaces

On Some Inequalities-Equalities Concerning the continuous generalized Fusion Frame in Hilbert spaces

Path-connectedness of the intersection of translates of St(n,H)

Robustness of controlled K-Fusion Frame in Hilbert C∗-modules under erasures of submodules

Independence, infinite dimension, and operators

Intersections of translates of finite-dimensionally valued frame spaces are conditionally slice-full and almost slice-full

Path-connectedness and topological closure of some sets related to the non-compact Stiefel manifold

Integral K-Operator Frames for EndA∗​(H)

Controlled ∗-operator Frames for EndA∗​(H)

Controlled Integral Frames for Hilbert C∗-Modules

Controlled K-operator frame for EndA∗​(H)

Integral K-Operator Frames for B(H)

Controlled K-Fusion Frame for Hilbert Spaces

Continuous Controlled K-G-Frames for Hilbert C∗-modules

Continuous Controlled K-Frame for Hilbert C∗-Modules

Dual continuous K-Frames in Hilbert spaces

On -fusion frames for Hilbert C-modules

$K$ - $b$ -frames for Hilbert spaces and the $b$ -adjoint operator

Controlled $$ -K-operator frame for $E n d_{A}^{} (H)$

Robustness of controlled $K$ -Fusion Frame in Hilbert C $^{*}$ -modules under erasures of submodules

Integral $K$ -Operator Frames for $E n d_{A}^{*} (H)$

Controlled $$ -operator Frames for $E n d_{A}^{} (H)$

Controlled Integral Frames for Hilbert $C^{*}$ -Modules

Controlled K-operator frame for $E n d_{A}^{*} (H)$

Integral $K$ -Operator Frames for $B (H)$

Controlled $K$ -Fusion Frame for Hilbert Spaces

Continuous Controlled K-G-Frames for Hilbert $C^{*}$ -modules

Continuous Controlled K-Frame for Hilbert $C^{*}$ -Modules

Dual continuous $K$ -Frames in Hilbert spaces