2012; Physical and Mathematical Sciences, 46(3 (229): 9–13
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ALMOST PERIODICITY IN SPECTRAL ANALYSIS REPRESENTATIONS INDUCED BY GENERALIZED SHIFT OPERATION

Received: 2025-02-18 · Published: 2012-12-01

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Original title
ALMOST PERIODICITY IN SPECTRAL ANALYSIS REPRESENTATIONS INDUCED BY GENERALIZED SHIFT OPERATION
Author
M.I. Karakhanian
Published
2012-12-01
Licence
Creative Commons Attribution 4.0 International

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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