Approximate duals and nearly Parseval frames

Authors : Morteza Mirzaee AZANDARYANI

Pages : 515-526

Doi:10.3906/mat-1408-37

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this paper we introduce approximate duality of g-frames in Hilbert $C^\ast$-modules and we show that approximate duals of g-frames in Hilbert $C^\ast$-modules share many useful properties with those in Hilbert spaces. Moreover, we obtain some new results for approximate duality of frames and g-frames in Hilbert spaces; in particular, we consider approximate duals of $\varepsilon$-nearly Parseval and $\varepsilon$-close frames.
Keywords : Hilbert C^ast module, g frame, frame, approximate duality, varepsilon nearly Parseval frame