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math.FA2022
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…
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…