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 269
Controlled K-g-frames in Hilbert C*-modules
Mhamed Ghiati, Mohammed Mouniane, Mohamed Rossafi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 29, 2022
March 03, 2236
April 15, 2236

Abstract: Frames for Hilbert spaces were introduced by Duffin and Schaefer in 1952 to study some deep problems in nonharmonic Fourier series by abstracting the fundamental notion of Gabor for signal processing. Controlled frames in Hilbert spaces have been introduced by P. Balazs to improve the numerical efficiency of iterative algorithms for inverting the frame operator. This talk is devoted to studying the controlled K-g-frames in Hilbert C*-modules, some useful results are presented. Also, the concept of controlled K-g-dual frames is given. Finally, we discuss the stability problem for controlled ...