Natural Science, Mathematics, 2025
ALMOST PERIODICITY IN SPECTRAL ANALYSIS REPRESENTATIONS INDUCED BY GENERALIZED SHIFT OPERATION
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Submitted: 2025-02-18; Published: 2025-02-18
© 2025 by author(s) and The Gufo Inc.
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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.