The Optimal K-Duals for 1-Erasure for Parseval K-Frames
Abstract: In this paper, we introduce the concept of K-dual. We investigate the K-duals that are optimal for erasures for Parseval K-frames in finite Hilbert spaces. We will give the necessary and sufficient conditions under which the canonical K-dual is the unique optimal K-duals for erasures. We also discuss some special conditions under which the canonical K-dual is not the optimal K-dual or op-timal K-dual but not the unique one.
文章引用: 李 亮 , 李鹏同 (2014) Parseval K-框架的1-丢失最佳K-对偶。 应用数学进展， 3， 192-200. doi: 10.12677/AAM.2014.34028
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