The stability of duals and approximate duals of frames and generalized frames under the action of bounded operators

نویسندگان

1 Department of Mathematics, University of Qom, Qom, Iran

doi
10.22091/maa.2023.9513.1007
چکیده

In this paper, the stability of duals and approximate duals of discrete frames, continuous frames and generalized frames in Hilbert spaces and Hilbert C*-modules under the action of bounded operators is considered. It is shown that under some conditions, duals and approximate duals are stable under the action of bounded operators. Especially, the stability of duals and approximate duals under the morphisms of Hilbert C*-modules is studied.