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On the linear equivalence of sequences in Hilbert spaces
Tariq Qawasmeh,Raed Hatamleh,Belal Batiha,Ahmed Heilat 한국전산응용수학회 2024 Journal of applied mathematics & informatics Vol.42 No.2
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.