On some equalities and inequalities for k-frames

被引：0
作者：
Fahimeh Arabyani Neyshaburi
Ghadir Mohajeri Minaei
Ehsan Anjidani
机构：
[1] Hakim Sabzevari University,Department of Mathematics and Computer Sciences
[2] Technical and Vocational University,Department of Mathematics
[3] Neyshabur Branch,undefined
[4] University of Neyshabur,undefined
来源：
Indian Journal of Pure and Applied Mathematics | 2019年 / 50卷
关键词：
Frames; -frames; Parseval ; -frames; -duals; Jensen’s operator inequality;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
K-frame theory was recently introduced to reconstruct elements from the range of a bounded linear operator K in a separable Hilbert space. This significant property is worthwhile especially in some problems arising in sampling theory. Some equalities and inequalities have been established for ordinary frames and their duals. In this paper, we continue and extend these results to obtain several important equalities and inequalities for K-frames. Moreover, by applying Jensen’s operator inequality we obtain some new inequalities for K-frames.
引用
收藏
页码：297 / 308
页数：11
相关论文
共 37 条
[1]  
Arabyani Neyshaburi F(2017)Some constructions of Rocky Mountain J. Math. 47 1749-1764
[2]  
Arefijamaal A(2007)-frames and their duals Proc. Amer. Math. Soc. 135 1007-1015
[3]  
Balan R(2006)A new identity for Parseval frames Appl. Comput. Harmon. Anal. 20 345-356
[4]  
Casazza P G(2006)On signal reconstruction without phase IEEE Trans. Inform. Theory 52 1990-2005
[5]  
Edidin D(2005)Sigm-Delta quantization and finite frames Linear Algebra Appl. 404 118-146
[6]  
Kutyniok G(1998)Frames, graphs and erasures IEEE Trans. Signal Process 46 3256-3268
[7]  
Balan R(2000)Frame-theoretic analysis of oversampled filter banks Taiwanese J. Math. 4 129-202
[8]  
Casazza P G(1966)The art of frame theory Proc. Amer. Math. Soc. 17 413-415
[9]  
Edidin D(2006)On majorization, factorization and range inclusion of operators on Hilbert space J. Math. Anal. Appl. 321 467-478
[10]  
Benedetto J(2007)On some identities and inequalities for frames in Hilbert spaces Math. Scand. 100 61-73
1234