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 10
g-atomic submodules for operators in Hilbert C*-modules
Fakhr-Dine Nhari, Mohamed Rossafi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
October 02, 2021
March 03, 2027
April 15, 2027

Abstract: Basis is one of the most important concepts in Vector Spaces study. However, Frames generalize orthonormal bases and were introduced by Duffin and Schaefer in 1952 to analyze some deep problems in nonharmonic Fourier series by abstracting the fundamental notion of Gabor for signal processing. In 2000, Frank-Larson introduced the concept of frames in Hilbert C*-modules as a generalization of frames in Hilbert spaces. The basic idea was to consider modules over C*-algebras of linear spaces and to allow the inner product to take values in the C*-algebras. In this talk, we introduced the notion ...