Duals and approximate duals of g-frames in Hilbert spaces
محورهای موضوعی : History and biographyM. Mirzaee Azandaryani 1 , A. Khosravi 2
1 - Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran
2 - Faculty of Mathematical Sciences
and Computer, Kharazmi University, Tehran, Iran
کلید واژه: duality, Frame, g-frame, approximate duality,
چکیده مقاله :
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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