Optimal dual frames for erasures II
Copyright policy )Optimal dual frames for erasures II
The authors continue the investigation on optimal dual frames for erasures, see \textit{J. Lopez} and \textit{D. Han} [Linear Algebra Appl. 432, No. 1, 471--482 (2010; Zbl 1181.42034)]. The main result of this paper is a characterization of all the frames with the property that the canonical dual frames are the unique optimal dual frames for erasures. Further, the authors present sufficient conditions under which either the canonical dual frame is not optimal or the canonical dual frame is optimal dual but it is not the unique one.
- University of Electronic Science and Technology of China China (People's Republic of)
- University of Central Florida United States
Optimal dual frames, dual frame, Numerical Analysis, Algebra and Number Theory, frame, optimal dual frame, Erasures, General harmonic expansions, frames, frame operator, erasures, REPRESENTATIONS, Frames, canonical dual frame, Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product), Applied, GABOR FRAMES, Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematics
Optimal dual frames, dual frame, Numerical Analysis, Algebra and Number Theory, frame, optimal dual frame, Erasures, General harmonic expansions, frames, frame operator, erasures, REPRESENTATIONS, Frames, canonical dual frame, Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product), Applied, GABOR FRAMES, Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematics
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