Approximate duals and nearly Parseval frames | Zendy

Morteza Mirzaee Azandaryani | Zendy

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Approximate duals and nearly Parseval frames

Author(s) -

Morteza Mirzaee Azandaryani

Publication year - 2015

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1408-37

Subject(s) - dual polyhedron , mathematics , parseval's theorem , duality (order theory) , hilbert space , pure mathematics , dual (grammatical number) , discrete mathematics , mathematical analysis , fourier transform , fourier analysis , linguistics , philosophy , fractional fourier transform

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.

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