On controlled frames in Hilbert C*-modules

摘要

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.