Spectrally optimal dual frames for erasures

被引：1
|
作者：
Devaraj, P. [1 ]
Mondal, Shankhadeep [1 ]
机构：
[1] Indian Inst Sci Educ & Res Thiruvananthapuram, Sch Math, Thiruvananthapuram 695551, India
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2023年 / 133卷 / 02期
关键词：
Frames; erasures; spectrally optimal dual frames;
D O I：
10.1007/s12044-023-00743-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We analyse the problem of characterizing optimal dual frames for erasures with respect to the spectral radius. Sufficient conditions are obtained for a dual frame of a given frame to be an optimal dual frame for two erasures. Sufficient conditions are also obtained for the canonical dual to be a two-erasure optimal dual with respect to spectral radius. We also establish some relations for optimality conditions between one erasure and two erasures in spectrally optimal dual frames.
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页数：12
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