2017/04/30 by Rashidi-Kouchi, Mehdi, Rahimi, Asghar
#42C40 #47A05 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Primary 42C15 #Secondary 46L08
paper · doi:10.48550/arxiv.1705.00357
In this paper, we introduce controlled frames in Hilbert C^*-modules and we show that they share many useful properties with their corresponding notions in Hilbert space. Next, we give a characterization of controlled frames in Hilbert C^*-module. Also multiplier operators for controlled frames in Hilbert C^*-modules will be defined and some of its properties will be shown. Finally, we investigate weighted frames in Hilbert C^*-modules and verify their relations to controlled frames and multiplier operators.