Dual and canonical dual of controlled K-g-frames in Hilbert spaces | Zendy

Hessam Hosseinnezhad | Zendy

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Dual and canonical dual of controlled K-g-frames in Hilbert spaces

Author(s) -

Hessam Hosseinnezhad

Publication year - 2020

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-2002-113

Subject(s) - bessel function , dual (grammatical number) , mathematics , dual pair , parseval's theorem , frame (networking) , sequence (biology) , hilbert space , pure mathematics , mathematical analysis , functional analysis , fourier transform , computer science , fourier analysis , telecommunications , linguistics , philosophy , topological tensor product , biochemistry , chemistry , genetics , biology , fractional fourier transform , gene

This paper is devoted to studying the controlled dual K-g-Bessel sequences of controlled K-g-frames. In fact, we introduce the concept of dual K-g-Bessel sequences of controlled K-g-frames and then, we present some necessary and/or sufficient conditions under which a controlled g-Bessel sequence is a controlled dual K-g-frame of a given controlled K-g-frame. Subsequently, we pay attention to investigating the structure of the canonical controlled dual K-g-Bessel sequence of a Parseval controlled K-g-frame and some other related results.

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