Turkish Journal of Mathematics
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.
DOI
10.3906/mat-2002-113
Keywords
Controlled frame, K-frame, canonical dual
First Page
1181
Last Page
1196
Recommended Citation
HOSSEINNEZHAD, H (2020). Dual and canonical dual of controlled K-g-frames in Hilbert spaces. Turkish Journal of Mathematics 44 (4): 1181-1196. https://doi.org/10.3906/mat-2002-113
