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https://www.ias.ac.in/article/fulltext/pmsc/121/02/0143-0154

Frame; 𝑔-frame; 𝑔-frame operator; projection method.

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.

M R Abdollahpour¹ A Najati¹

1. Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran

Manuscript received

16 June 2010

Manuscript revised

2 March 2011