Modular frames and invertibility of multipliers in Hilbert C*-modules

摘要

We investigate some properties for Hilbert C*-modular frames. In the present paper, we also investigate some conditions for invertibility of multipliers in Hilbert C*-module spaces. We show that by appropriate conditions for symbols, the inverse of an invertible frame multiplier can be represented as a frame multiplier. Dual frames play important role in this representation. We prove and generalize some of the results obtained for frames in Hilbert spaces to Hilbert C*-modules.