Approximation of the Inverse 𝐺-Frame Operator

Proceedings Mathematical Sciences

M R Abdollahpour²  A Najati¹ 

[1] $$;Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil -, Iran$$

关键词: Frame;    𝑔-frame;    𝑔-frame operator;    projection method.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we introduce the concept of (strong) projection method for 𝑔-frames which works for all conditional 𝑔-Riesz frames. We also derive a method for approximation of the inverse 𝑔-frame operator which is efficient for all 𝑔-frames. We show how the inverse of 𝑔-frame operator can be approximated as close as we like using finite-dimensional linear algebra.

【 授权许可】

Unknown