Seminorm optimal dual frames for erasures
Filomat, Tome 37 (2023) no. 7, p. 2051
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The main purpose of this paper is to find other measurements for constructing optimal duals that minimize the reconstruction errors, when erasures occur. Some known results are investigated with some other measurements. Moreover, we investigate extreme points of the set of all optimal duals for 1-erasure by the seminorms. Furthermore, some examples are provided for clarification.
Classification :
42C15, 46C07
Keywords: Frame, Dual Frame, Erasure, Extreme Point, Seminorm
Keywords: Frame, Dual Frame, Erasure, Extreme Point, Seminorm
Zahra Keyshams. Seminorm optimal dual frames for erasures. Filomat, Tome 37 (2023) no. 7, p. 2051 . doi: 10.2298/FIL2307051K
@article{10_2298_FIL2307051K,
author = {Zahra Keyshams},
title = {Seminorm optimal dual frames for erasures},
journal = {Filomat},
pages = {2051 },
year = {2023},
volume = {37},
number = {7},
doi = {10.2298/FIL2307051K},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2307051K/}
}
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