Author:
Huang Yongdong,Yang Yuanyuan
Abstract
AbstractK-g-fusion frames are generalizations of fusion frames, K-fusion frames and g-fusion frames. In this paper, we present some new characterizations of K-g-fusion frames and tight K-g-fusion frames, and give several properties of K-g-fusion frames by means of the methods and techniques in frame and operator theories. Then, we discuss the redundancy of K-g-fusion frames. Finally, we discuss the stability of K-g-fusion frames.
Funder
National Natural Science Foundation of China
Leading Talent Project of Science and Technology Innovation of NingXia
Major Project of North Minzu University
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference21 articles.
1. Arabyani, N.F., Arefijamaal, A.A.: Characterization and construction of K-fusion frames and their duals in Hilbert spaces. Results Math. 73(1), 47 (2018)
2. Bhandari, A., Mukherjee, S.: Atomic subspaces for operators (2017) arXiv:1705.06042
3. Casazza, P.G.: The art of frame theory. Taiwan. J. Math. 32(46), 1–72 (1999)
4. Casazza, P.G., Kutyniok, G.: Frames of subspaces. Wavelets Frames Oper. Theory 8(3), 87–113 (2003)
5. Casazza, P.G., Kutyniok, G.: Finite Frames: Theory and Applications. Springer, USA (2013)
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