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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2012, Volume 12, Issue 2, Pages 14–18
DOI: https://doi.org/10.18500/1816-9791-2012-12-2-14-18 (Mi isu291) 		 
Mathematics

Frames and periodic groups of operators

S. A. Kreis

Saratov State University, Chair of Mathematical Analysis
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DOI: https://doi.org/10.18500/1816-9791-2012-12-2-14-18
Abstract: In this paper some properties of periodic groups of operators which connected with frames theory are considered. We proof that there are no strongly continuous and uniformly bounded periodic one-parameter group of operators in Banach space which eigenvectors are cross-frame.
Key words: frame, cross-frame, one-parameter group of operators.
Received: 14.06.2012
Bibliographic databases:
Document Type: Article
UDC: 517.51+517.98
Language: Russian
Citation: S. A. Kreis, “Frames and periodic groups of operators”, Izv. Saratov Univ. Math. Mech. Inform., 12:2 (2012), 14–18
Citation in format AMSBIB
\Bibitem{Kre12}
\by S.~A.~Kreis
\paper Frames and periodic groups of operators
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2012
\vol 12
\issue 2
\pages 14--18
\mathnet{http://mi.mathnet.ru/isu291}
\crossref{https://doi.org/10.18500/1816-9791-2012-12-2-14-18}
\elib{https://elibrary.ru/item.asp?id=17747113}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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