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.
MSC numbers : 42C15, ‎46L08.
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