ALMOST PERIODICITY IN SPECTRAL ANALYSIS REPRESENTATIONS INDUCED BY GENERALIZED SHIFT OPERATION

M.I. Karakhanian

Received N/A; revised N/A; accepted N/A

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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