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Related papers: Weaving continuous controlled K-g-fusion frames in…

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We present the notion of continuous controlled K-g-fusion frame in Hilbert space which is the generalization of discrete controlled K-g-fusion frame. We discuss some characterizations of continuous controlled K-g-fusion frame. Relationship…

Functional Analysis · Mathematics 2024-10-16 Prasenjit Ghosh , T. K. Samanta

In this paper, we first introduce the notion of controlled weaving K-g-frames in Hilbert spaces. Then, we present sufficient conditions for controlled weaving K-g-frames in separable Hilbert spaces. Also, a characterization of controlled…

Functional Analysis · Mathematics 2018-12-04 Reza Rezapour , Asghar Rahimi , E. Osgooei , Hossien Dehghan

We introduce the notion of continuous controlled g-fusion frame in Hilbert space which is the generalization of discrete controlled g-fusion frame and give an example. Some characterizations of continuous controlled g-fusion frame have been…

Functional Analysis · Mathematics 2021-10-22 Prasenjit Ghosh , T. K. Samanta

Controlled frames have been the subject of interest because of its ability to improve the numerical efficiency of iterative algorithms for inverting the frame operator. In this paper, we introduce the concepts of controlled g-fusion frame…

Operator Algebras · Mathematics 2021-12-10 Fakhr-dine Nhari , Mohamed Rossafi

In this paper, we characterize and study the concept of controlled continuous $g$-frame which is an extension of continuous $g$-frame in Hilbert spaces. We introduce the concept of controlled continuous dual $g$-frame and observe some…

Functional Analysis · Mathematics 2022-10-25 Mohamed Rossafi , Fakhr-dine Nhari , P. Sam Johnson

$K$-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 develop some results on the controlled $K$-fusion frames for…

Functional Analysis · Mathematics 2020-07-13 N. Assila , S. Kabbaj , B. Moalige

The concept of a bi-g-fusion frame for a Hilbert space, which is a generalizations of a controlled g-fusion frame, is introduced and an example is given. Finally, bi-g-fusion frame in tensor product of Hilbert spaces is considered.

Functional Analysis · Mathematics 2024-11-05 Prasenjit Ghosh , T. K. Samanta

Frame Theory has a great revolution for recent years. This Theory has been extended from Hilbert spaces to Hilbert $C^{\ast}$-modules. The purpose of this paper is the introduction and the study of the new concept that of Continuous…

Functional Analysis · Mathematics 2020-07-08 Abdeslam Touri , Hatim Labrigui , Samir Kabbaj

Controlled g-atomic subspace for a bounded linear operator is being presented and a characterization has been given. We give an example of controlled K-g-fusion frame. We construct a new controlled K-g-fusion frame for the Hilbert space H ?…

Functional Analysis · Mathematics 2023-03-29 Prasenjit Ghosh , T. K. Samanta

Controlled frames and g-frames were considered recently as generalizations of frames in Hilbert spaces. In this paper we generalize some of the known results in frame theory to controlled g-frames. We obtain some new properties of…

Functional Analysis · Mathematics 2019-12-19 Dongwei Li , Jinsong Leng

Recently, Bemrose et al. \cite{BE} developed a theory of weaving frames, which was motivated by a problem regarding distributed signal processing. In this present article, we introduce the atomic $g$-system and we generalize some of the…

Functional Analysis · Mathematics 2024-01-03 Hafida Massit , Mohamed Rossafi , Choonkil Park

In this note, we first introduce the notation of weaving cfusion frames in separable Hilbert spaces. After reviewing the conditions for maintaining the weaving c-fusion frames under the bounded linear operator and also, removing vectors…

Functional Analysis · Mathematics 2019-01-15 Vahid Sadri , Reza Ahmadi , Gholamreza Rahimlou

Frame Theory has a great revolution in recent years, this Theory have been extended from Hilbert spaces to Hilbert $C^{\ast}$-modules. The purpose of this paper is the introduction and the study of the concept of Controlled Continuous…

Operator Algebras · Mathematics 2019-09-17 H. Labrigui , A. Touri , S. 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 properties in continuous weaving frame theory related to…

Functional Analysis · Mathematics 2023-05-08 Hafida Massit , Mohamed Rossafi , Samir Kabbaj

In this paper we intend to introduce the concept of c-K-g-frames, which are the generalization of K-g-frames. In addition, we prove some new results on c-K-g-frames on Hilbert spaces. Moreover, we define the related oprators of c-K-g…

Functional Analysis · Mathematics 2019-05-15 E. Alizadeh , M. H. Faroughi , M. Rahmani

The frame theory is dynamic and exciting with various pure and applied mathematics applications. In this paper, we introduce and study the concept of Controlled Continuous $\ast$-$g$-Frames in Hilbert $C^{\ast}$-Modules, which is a…

Functional Analysis · Mathematics 2022-05-16 M'hamed Ghiati , Mohamed Rossafi , Mohammed Mouniane , Hatim Labrigui , Abdeslam Touri

Controlled $\ast$-K-fusion frames are generalization of controlled fusion frames in frame theory. In this paper, we propose the notion of controlled $\ast$-k-fusions frames on Hilbert $C^{\ast}$-modules. We give some caraterizations and…

Operator Algebras · Mathematics 2021-10-08 Nadia Assila , Samir Kabbaj , Mohamed Otmani

In frame theory literature, there are several generalizations of frame, K-fusion frame presents a flavour of one such generalization, basically it is an intertwined replica of K-frame and fusion frame. K-fusion frames come naturally (having…

Functional Analysis · Mathematics 2019-12-17 Animesh Bhandari , Saikat Mukherjee

Controlled frames in Hilbert spaces have been introduced by Balazs, Antoine and Grybos to improve the numerical output of in relation to algorithms for inverting the frame operator. In this paper we have introduced and displayed some new…

Functional Analysis · Mathematics 2018-05-02 Habib shakoory , Reza Ahmadi , Naghi Behzadi , Susan Nami

In this paper, we will introduce the new concepts of continuous bi-g-frames and continuous K-bi-g-frame for Hilbert spaces. Then, we examine some characterizations properties with the help of a biframe operator. Finally, we investigate…

Functional Analysis · Mathematics 2024-04-16 Abdelilah Karara , Mohamed Rossafi
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