Turkish Journal of Mathematics
DOI
10.3906/mat-2002-113
Abstract
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.
Keywords
Controlled frame, K-frame, canonical dual
First Page
1181
Last Page
1196
Recommended Citation
HOSSEINNEZHAD, HESSAM
(2020)
"Dual and canonical dual of controlled K-g-frames in Hilbert spaces,"
Turkish Journal of Mathematics: Vol. 44:
No.
4, Article 8.
https://doi.org/10.3906/mat-2002-113
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss4/8