Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON THE LINEAR EQUIVALENCE OF SEQUENCES IN HILBERT SPACES

  • Received : 2022.10.27
  • Accepted : 2023.12.19
  • Published : 2024.03.30
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Abstract

A similarity transformation of a solution of the Cauchy problem for the linear difference equation in Hilbert space has been studied. In this manuscript, we obtain necessary and sufficient conditions for linear equivalence of the discrete semigroup of operators, generated by the solution of the difference equation utilizing four Canonical semigroups.

Keywords

Acknowledgement

The authors wish to thank the reviewers for valuable comments and suggestions.

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