ALMOST PERIODICITY IN SPECTRAL ANALYSIS REPRESENTATIONS INDUCED BY GENERALIZED SHIFT OPERATION

M.I. Karakhanian

doi:10.46991/PYSU:A/2012.46.3.009

ALMOST PERIODICITY IN SPECTRAL ANALYSIS REPRESENTATIONS INDUCED BY GENERALIZED SHIFT OPERATION

Authors

M.I. Karakhanian Chair of Differential Equations, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2012.46.3.009

Keywords:

representations, generalized shift operations, almost periodicity

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.

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Published

2012-12-01

How to Cite

Karakhanian, M. (2012). ALMOST PERIODICITY IN SPECTRAL ANALYSIS REPRESENTATIONS INDUCED BY GENERALIZED SHIFT OPERATION. Proceedings of the YSU A: Physical and Mathematical Sciences, 46(3 (229), 9–13. https://doi.org/10.46991/PYSU:A/2012.46.3.009