@article {
author = {Rahimlou, Gholamreza and Ahmadi, Reza and Jafarizadeh, Mohammad Ali and Nami, Susan},
title = {Some Properties of Continuous $K$-frames in Hilbert Spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {15},
number = {1},
pages = {169-187},
year = {2019},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.85866.432},
abstract = {The theory of continuous frames in Hilbert spaces is extended, by using the concepts of measure spaces, in order to get the results of a new application of operator theory. The $K$-frames were introduced by G$\breve{\mbox{a}}$vruta (2012) for Hilbert spaces to study atomic systems with respect to a bounded linear operator. Due to the structure of $K$-frames, there are many differences between $K$-frames and standard frames. $K$-frames, which are a generalization of frames, allow us in a stable way, to reconstruct elements from the range of a bounded linear operator in a Hilbert space. In this paper, we get some new results on the continuous $K$-frames or briefly c$K$-frames, namely some operators preserving and some identities for c$K$-frames. Also, the stability of these frames are discussed.},
keywords = {$K$-frame,c-frame,c$K$-frame,Local c$K$-atoms},
url = {https://scma.maragheh.ac.ir/article_35964.html},
eprint = {https://scma.maragheh.ac.ir/article_35964_7a67421bd91eead5fc7d70935aa2f7cb.pdf}
}