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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

In the present paper, we introduce the notion of controlled $E$-frames. Then we investigate and study some properties of them and characterize all controlled $E$-duals associated with a given controlled $E$-frame.

Functional Analysis · Mathematics 2024-05-10 H. Hedayatirad , T. L. Shateri

In this paper, we introduce controlled frames in Hilbert $C^*$-modules and we show that they share many useful properties with their corresponding notions in Hilbert space. Next, we give a characterization of controlled frames in Hilbert…

Operator Algebras · Mathematics 2017-05-02 Mehdi Rashidi-Kouchi , Asghar Rahimi

The concepts of controlled frames and it's dual in n-Hilbert spaces and their tensor products have been introduced and then some of their characterizations are given. We further study the relationship between controlled frame and bounded…

Functional Analysis · Mathematics 2021-09-06 Prasenjit Ghosh , T. K. Samanta

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 paper we study the concept of controlled $\ast$-operator frmae for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$. Also we discuss characterizations of controlled $\ast$-operator frames and we give some properties

Functional Analysis · Mathematics 2020-09-29 Abdeslam Touri , Hatim Labrigui , Samir Kabbaj

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

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 operator. Controlled Frame Theory has a great revolution in…

Functional Analysis · Mathematics 2020-08-20 Hatim Labrigui , Samir Kabbaj

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

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

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 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 have stated some results about this concept. Furthermore, we introduce the notion of controlled $E$-frames and we characterize all controlled $E$-duals associated with a given controlled $E$-frame.

Functional Analysis · Mathematics 2024-11-27 H. Hedayatirad , T. L. Shateri

We introduce the notion of weaving continuous controlled K-g-fusion frame in Hilbert space. Some characterizations of weaving continuous controlled K-g-fusion frame have been presented. We extend some of the recent results of woven…

Functional Analysis · Mathematics 2024-03-12 Prasenjit Ghosh , T. K. Samanta

$K$-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

Frame Theory has a great revolution for recent years. This theory has been extended from Hilbert spaces to Hilbert $C^{\ast}$-modules. In this paper, we introduce the concept of Controlled K-operator frame for the space…

Functional Analysis · Mathematics 2020-08-14 Abdeslam Touri , Samir Kabbaj

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

Functional Analysis · Mathematics 2021-10-06 Hamid Faraj , Samir Kabbaj , Hatim Labrigui , Abdeslam Touri , Mohamed Rossafi

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

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

K-frames were recently introduced by L. G\v{a}vruta in Hilbert spaces to study atomic systems with respect to bounded linear operator. Also controlled frames have been recently introduced by P. Balazs in Hilbert spaces to improve the…

Functional Analysis · Mathematics 2016-02-15 Asghar Rahimi , Shahram Najafzadeh , Mohamad Nouri
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