TY - JOUR
ID - 36737
TI - Continuous $k$-Fusion Frames in Hilbert Spaces
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Sadri, Vahid
AU - Ahmadi, Reza
AU - Jafarizadeh, Mohammad
AU - Nami, Susan
AD - Department of Mathematics, Shabestar Branch, Islamic Azad University Shabestar, Iran.
AD - Institute of Fundamental Sciences, University of Tabriz, Tabriz, Iran.
AD - Faculty of Physic, University of Tabriz,
Tabriz, Iran.
Y1 - 2020
PY - 2020
VL - 17
IS - 1
SP - 39
EP - 55
KW - Fusion frame
KW - $k$-fusion frame
KW - c$k$-fusion frame
KW - Q-duality
DO - 10.22130/scma.2018.83792.418
N2 - The study of the c$k$-fusions frames shows that the emphasis on the measure spaces introduces a new idea, although some similar properties with the discrete case are raised. Moreover, due to the nature of measure spaces, we have to use new techniques for new results. Especially, the topic of the dual of framesĀ which is important for frame applications, have been specifiedĀ completely for the continuous frames. After improving and extending the concept of fusion frames and continuous frames, in this paper we introduce continuous $k$-fusion frames in Hilbert spaces. Similarly to the c-fusion frames, dual of continuous $k$-fusion frames may not be defined, we however define the $Q$-dual of continuous $k$-fusion frames. Also some new results and the perturbation of continuous $k$-fusion frames will be presented.
UR - http://scma.maragheh.ac.ir/article_36737.html
L1 - http://scma.maragheh.ac.ir/article_36737_f74af2ceb97b56960df44e5c8826e4a5.pdf
ER -