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 Proceedings of the YSU, Physical and Mathematical Sciences, 2012, Issue 3, Pages 9–13 (Mi uzeru141)

Mathematics

Almost periodicity in spectral analysis representations induced by generalized shift operation

M. I. Karakhanian

Chair of Differential Equations YSU, Armenia

Abstract: The famous Theorem of Yu. Lubich allows us in the language of the almost periodicity to get the criterion of completeness of the eigenvectors of a Hermitian compact operator in a weakly complete Banach space. In this paper this result is strengthened for the representation generated by the operation of the generalized shift.

Keywords: representations, generalized shift operations, almost periodicity.

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Accepted:21.06.2012
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Citation: M. I. Karakhanian, “Almost periodicity in spectral analysis representations induced by generalized shift operation”, Proceedings of the YSU, Physical and Mathematical Sciences, 2012, no. 3, 9–13

Citation in format AMSBIB
\Bibitem{Kar12} \by M.~I.~Karakhanian \paper Almost periodicity in spectral analysis representations induced by generalized shift operation \jour Proceedings of the YSU, Physical and Mathematical Sciences \yr 2012 \issue 3 \pages 9--13 \mathnet{http://mi.mathnet.ru/uzeru141}