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math.FA2023
Continuous generalized atomic subspaces for operators in Hilbert spaces
Mohamed Rossafi, Fakhr-dine Nhari, Abdeslam Touri
In this paper, we introduce the concept of continuous atomic subspace for a bounded linear operator and gives several useful continuous resolution of the identity operator on a…
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…