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 5
*-K-operator for Hom*A(X)
Roumaissae El Jazzar, Mohamed Rossafi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
September 18, 2021
March 03, 2024
April 15, 2024

Abstract: Duffin and Schaeffer introduced the notion of frame in nonharmonic Fourier analysis in 1952 [1]. In 1986 the work of Duffin and Schaeffer were reintroduced and developed by Grossman and Meyer [2]. The concept of frame on Hilbert space has already been successfully extended to pro-C*-algebras and Hilbert modules. Many properties of frames in Hilbert C*-modules are valid for frames of multipliers in Hilbert modules over pro-C*-algebras [3]. The aim of this talk is to introduce the notion of *-K-operator frame, which is a generalization of K-operator frame in Hilbert pro-C*-algebra. We present ...