Approximate duals and nearly Parseval frames
Authors : Morteza Mirzaee Azandaryani
Pages : 515-526
Doi:10.3906/mat-1408-37
View : 6 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
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