Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 160
Some results about operator perturbation for K-frames in Hilbert C*-modules
Salah Eddine Oustani, Samir Kabbaj
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 22, 2022
March 03, 2147
April 15, 2147

Abstract: Frame theory is a new and applicable part of harmonic analysis and plays an important role in many areas and fields, from applied mathematics to engineering applications such as sampling theory, filter bank theory and image processing. The theory of regularities has been examined in connection with various classes of bounded linear operators, Fredholm theory and commutative Banach algebras. Meanwhile, one of the most important problems in the studying of frames and its extensions is the stability of these systems under the operator perturbation. Saphar introduced the concept of the algebraic ...