O-Cross Gram matrices with respect to \(\varvec{g}\)-frames


The matrix representation of operators in Hilbert spaces is a useful tool in applications. It is important to present the matrix representation by sequences other than orthonormal bases. In this paper, we extend the matrix representation of operators using g-frames and investigate their invertibility and stability.


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The authors are thankful to P. Balazs for his valuable comments. They also want to thank all anonymous reviewers concerned with this paper.

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Correspondence to Ali Akbar Arefijamaal.

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Arefijamaal, A.A., Shamsabadi, M. O-Cross Gram matrices with respect to \(\varvec{g}\)-frames. Arab. J. Math. 9, 259–269 (2020). https://doi.org/10.1007/s40065-019-0246-8

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Mathematics Subject Classification

  • 41A58
  • 43A35