Duals and approximate duals of g-frames in Hilbert spaces
الموضوعات :
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)
الکلمات المفتاحية: duality, Frame, g-frame, approximate duality,
ملخص المقالة :
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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