TY - JOUR
ID - 23646
TI - $G$-Frames for operators in Hilbert spaces
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Dastourian, Bahram
AU - Janfada, Mohammad
AD - Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, P.O. Box 1159-91775, Iran.
Y1 - 2017
PY - 2017
VL - 08
IS - 1
SP - 1
EP - 21
KW - $g$-atomic system
KW - $g$-$K$-frame
KW - $g$-$K$-dual
KW - Perturbation
DO - 10.22130/scma.2017.23646
N2 - $K$-frames as a generalization of frames were introduced by L. Gu{a}vruc{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.
UR - https://scma.maragheh.ac.ir/article_23646.html
L1 - https://scma.maragheh.ac.ir/article_23646_5b6f187d7a7e622a7634cf56284bc2c6.pdf
ER -