Modular Biframes for Operators
Salah Eddine Oustani, Mohamed Rossafi
TL;DR
This paper investigates the stability of modular biframes for operators when subjected to certain classes of closed range operators, addressing a key problem in frame theory extensions.
Contribution
It introduces the concept of modular biframes for operators and studies their invariance properties under specific perturbations, advancing the understanding of frame stability.
Findings
Modular biframes are invariant under certain closed range operator perturbations.
The paper establishes conditions for the stability of modular biframes.
Results contribute to the theory of frame perturbations and operator invariance.
Abstract
One of the most important problems in the studying of frames and its extensions is the invariance of these systems under perturbation. The current paper is concerned with the invariance of Modular biframes for operators under some class of closed range operators.
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Taxonomy
TopicsNonlinear Dynamics and Pattern Formation · Rings, Modules, and Algebras · Advanced Differential Equations and Dynamical Systems