Duals and approximate duals of g-frames in Hilbert spaces

Subject Areas : History and biography

M.  Mirzaee Azandaryani ¹ (Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran)
A.  Khosravi ² (Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran)

Received: 2015-11-01 Accepted : 2016-02-29 Published : 2015-12-01

Keywords: duality, Frame, g-frame, approximate duality,

Abstract :

In this paper we get some results and applications for duals and approximate duals of g-frames in Hilbert spaces. In particular, we consider the stability of duals and approximate duals under bounded operators and we study duals and approximate duals of g-frames in the direct sum of Hilbert spaces. We also obtain some results for perturbations of approximate duals.

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