Almost periodicity in spectral analysis representations induced by generalized shift operation
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2012), pp. 9-13
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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.
@article{UZERU_2012_3_a1,
author = {M. I. Karakhanian},
title = {Almost periodicity in spectral analysis representations induced by generalized shift operation},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {9--13},
publisher = {mathdoc},
number = {3},
year = {2012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UZERU_2012_3_a1/}
}
TY - JOUR AU - M. I. Karakhanian TI - Almost periodicity in spectral analysis representations induced by generalized shift operation JO - Proceedings of the Yerevan State University. Physical and mathematical sciences PY - 2012 SP - 9 EP - 13 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZERU_2012_3_a1/ LA - en ID - UZERU_2012_3_a1 ER -
%0 Journal Article %A M. I. Karakhanian %T Almost periodicity in spectral analysis representations induced by generalized shift operation %J Proceedings of the Yerevan State University. Physical and mathematical sciences %D 2012 %P 9-13 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/UZERU_2012_3_a1/ %G en %F UZERU_2012_3_a1
M. I. Karakhanian. Almost periodicity in spectral analysis representations induced by generalized shift operation. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2012), pp. 9-13. http://geodesic.mathdoc.fr/item/UZERU_2012_3_a1/