7 papers
Hyers-Ulam stability of homomorphisms and *-homomorphisms on Hilbert C*-modules
Sajjad Khan, Choonkil Park
In this paper, we introduce the idea of -homomorphism on a Hilbert -module. Furthermore, we prove the Hyers-Ulam stability of homomorphisms and -homomorphisms on…
Some Fixed Point Results for Interpolative Contractive Mappings in -algebra valued metric spaces
Hafida Massit, Mohamed Rossafi, Choonkil Park
In this paper, we present a new concept of interpolative contraction mappings in -algebra valued complete metric space and we prove the existence of fixed points and comm…
Stability of additive-quadratic functional equation in modular space
Abderrahman Baza, Mohamed Rossafi, Choonkil Park
Using the direct method, we prove the generalised Hyers-Ulam stability of the following functional equation \begin{equation} ϕ(x+y, z+w)+ϕ(x-y, z-w)-2 ϕ(x, z)-2 ϕ(x, w)=0 \end{equa…
Weaving continuous generalized frames for operators
Hafida Massit, Mohamed Rossafi, Choonkil Park
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 intro…
Controlled finite continuous frames
Hafida Massit, Mohamed Rossafi, Choonkil Park
In this paper, we present controlled finite continuous frames in a finite dimensional Hilbert space and we study some properties of them. Parseval controlled integral frames are pr…
Operator frame for
Roumaissae Eljazzar, Mohamed Rossafi, Choonkil Park
The concept of operator frame can be considered as a generalization of frame. Firstly, we introduce the notion of operator frame for the set of all adjointable operators $Hom_{\mat…
-Operator frame for
Roumaissae Eljazzar, Mohamed Rossafi
In this Work, We introduce the concept of -operator frame, which is a generalization of -frames in Hilbert pro--modules, and we establish some results, we als…