Continuous k-frames and their duals
Functional Analysis
2019-01-15 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1901.03803,
title = {Continuous k-frames and their duals},
author = {Gholamreza Rahimlou and Reza Ahmadi and Mohammad Ali Jafarizadeh and Susan Nami},
journal= {arXiv preprint arXiv:1901.03803},
year = {2019}
}