@article {
author = {Dastourian, Bahram and Janfada, Mohammad},
title = {$G$-Frames for operators in Hilbert spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {08},
number = {1},
pages = {1-21},
year = {2017},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.23646},
abstract = {$K$-frames as a generalization of frames were introduced by L. G\u{a}vru\c{t}a to study atomic systems on Hilbert spaces which allows, in a stable way, to reconstruct elements from the range of the bounded linear operator $K$ in a Hilbert space. Recently some generalizations of this concept are introduced and some of its difference with ordinary frames are studied. In this paper, we give a new generalization of $K$-frames. After proving some characterizations ofÂ generalized $K$-frames, new results are investigatedÂ and some new perturbation results are established. Finally, we give several characterizations of $K$-duals.},
keywords = {$g$-atomic system,$g$-$K$-frame,$g$-$K$-dual,Perturbation},
url = {http://scma.maragheh.ac.ir/article_23646.html},
eprint = {http://scma.maragheh.ac.ir/article_23646_5b6f187d7a7e622a7634cf56284bc2c6.pdf}
}