C-erasure reconstruction error of \({GC}\)-frame of subspaces
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Authors
Reza Ahmadi
- Research Institute for Fundamental Science, University of Tabriz, Tabriz, Iran.
Hosein Emamalipor
- Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran.
Abstract
In [M. H. Faroughi, R. Ahmadi, Math. Nachr., 284 (2010), 681-693], we generalized the concept
of fusion frames, namely, c-fusion integral, which is a continuous version of the fusion frames and
in [M. H. Faroughi, A. Rahimi, R. Ahmadi, Methods Funct. Anal. Topology, 16 (2010), 112-119]
we extended it for generalized frames. In this article we give some important properties about it
namely erasures of subspaces, the bound of gc-erasure reconstruction error for Parseval gc-frame of
subspaces.
Share and Cite
ISRP Style
Reza Ahmadi, Hosein Emamalipor, C-erasure reconstruction error of \({GC}\)-frame of subspaces, Journal of Mathematics and Computer Science, 16 (2016), no. 4, 541-553
AMA Style
Ahmadi Reza, Emamalipor Hosein, C-erasure reconstruction error of \({GC}\)-frame of subspaces. J Math Comput SCI-JM. (2016); 16(4):541-553
Chicago/Turabian Style
Ahmadi, Reza, Emamalipor, Hosein. "C-erasure reconstruction error of \({GC}\)-frame of subspaces." Journal of Mathematics and Computer Science, 16, no. 4 (2016): 541-553
Keywords
- Operator theory
- frame
- Hilbert space
- fusion frame
- generalized frame.
MSC
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