The stability of duals and approximate duals of frames and generalized frames under the action of bounded operators

Document Type : Original Article

Author

Department of Mathematics, University of Qom, Qom, Iran

Abstract

In this paper, the stability of duals and approximate duals of discrete frames, continuous frames and generalized frames in Hilbert spaces and Hilbert C*-modules under the action of bounded operators is considered. It is shown that under some conditions, duals and approximate duals are stable under the action of bounded operators. Especially, the stability of duals and approximate duals under the morphisms of Hilbert C*-modules is studied.

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References

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Measure Algebras and Applications
Volume 1, Issue 1 - Serial Number 1
September 2023
Pages 36-52

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History

  • Receive Date: 31 May 2023
  • Revise Date: 21 July 2023
  • Accept Date: 23 July 2023

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