2019/01/12 by Rahimlou, Gholamreza, Ahmadi, Reza, Jafarizadeh, Mohammad Ali +1
#FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1901.03803
k-frames were recently introduced by Gavruta in Hilbert spaces to study atomic systems with respect to a bounded linear operator. A continuous frame is a family of vectors in Hilbert space which allows reproductions of arbitrary elements by continuous super positions. We construct a continuous k-frame, so called ck-frame along with an atomic system for this version of frames. Also we introduce a new method for obtaining the dual of a ck-frame and we prove some new results about it.