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math.FA2022

Douglas' factorization theorem and atomic system in Hilbert promodule

Mohamed Rossafi, Roumaissae Eljazzar, Ram Mohapatra

In the present paper we introduce the generalized inverse operators which have an interesting role in operator theory. We establish Douglas' factorization theorem type for Hilbert…

math.FA2022

Controlled continuous -frames and their duals in Hilbert spaces

Mohamed Rossafi, Fakhr-dine Nhari, P. Sam Johnson

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

math.FA2022

Controlled continuous --Frames in Hilbert -Modules

M'hamed Ghiati, Mohamed Rossafi, Mohammed Mouniane +2

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 -$…

math.FA2020

Controlled K-operator frame for

Abdeslam Touri, Samir Kabbaj

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

math.FA2020

Integral -Operator Frames for

Hatim Labrigui, Mohamed Rossafi, Abdeslam Touri +1

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

math.FA2020

Continuous Controlled K-G-Frames for Hilbert -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 -modules. The purpose of this paper is the introduction…