The woven frame of multipliers in Hilbert C*-modules
Commun. Korean Math. Soc. Published online November 16, 2020
MONA NAROEI IRANI and AKBAR NAZARI
Department of Mathematics Kerman Branch Islamic Azad University, Kerman, Iran., Department of Pure Mathematics Faculty of Mathematics and computer Shahid Bahonar University of Kerman, Kerman, Iran
Abstract : Recently, authors extend the concept of weaving frames in Hilbert space to the Hilbert C*-modules. In this paper, by using the sequence of adjointable operators from C*-algebra A into Hilbert A-module E, the woven frames of multipliers in Hilbert C*-modules are introduced. Meanwhile, we study the effect of operators on these frames and, also we are going to construct the new woven frame of multipliers in Hilbert A-module A. Finally, compositions of woven frames of multipliers in Hilbert C*-modules are studied.
Keywords : Hilbert C*-modules, the woven frame of multipliers, the frame of multipliers.