@article {
author = {Rahimlou, Gholamreza and Ahmadi, Reza and Jafarizadeh, Mohammad Ali and Nami, Susan},
title = {Continuous $ k $-Frames and their Dual in Hilbert Spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {17},
number = {3},
pages = {145-160},
year = {2020},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2019.115719.691},
abstract = {The notion of $k$-frames was recently introduced by G\u avru\c ta in HilbertĀ spaces to study atomic systems with respect to a bounded linear operator. A continuous frame is a family of vectors in a Hilbert space which allows reproductions of arbitrary elements by continuous super positions. In this manuscript, we construct a continuous $k$-frame, so called c$k$-frame along with an atomic system for this version of frames. Also we introduce a new method for obtaining the dual of a c$k$-frame and prove some new results about it.},
keywords = {c-frame,$K$-frame,c$K$-frame,c$k$-atom,c$k$-dual},
url = {http://scma.maragheh.ac.ir/article_40583.html},
eprint = {http://scma.maragheh.ac.ir/article_40583_8baad0d22b5a702687eb584294dd9657.pdf}
}