Controlled multipliers with two operators in Hilbert C*-modules

Abstract

Improving and extending the notion of controlled frames, in this paper, we introduce controlled frames with two operators for Hilbert C*-modules. This generalize controlled frames in Hilbert and Hilbert C*-module. We show, in Hilbert C*-module setting, controlled frame with two operators is classical frame. Also, we investigate controlled multiplier operators and their invertibility in Hilbert C*-modules. We show that the inverse of controlled frame multiplier with two operators is controlled frame multiplier too.