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

Authors : Hessam Hosseinnezhad

Pages : 1181-1196

Doi:10.3906/mat-2002-113

View : 14 | Download : 1

Publication Date : 9999-12-31

Article Type : Makaleler

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