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Mathematics of the USSR-Izvestiya, 1980, Volume 14, Issue 2, Pages 345–365
DOI: https://doi.org/10.1070/IM1980v014n02ABEH001112 (Mi im1688) 		 
On invariant subspaces of multiple weighted shift operators

V. S. Pilidi
English version PDF (910 kB) Russian version article
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DOI: https://doi.org/10.1070/IM1980v014n02ABEH001112
Abstract: Unilateral and bilateral multiple weighted shift operators whose weight sequences consist of invertible operators are studied. Under a certain condition on the decrease of the weight sequence the invariant subspaces of unilateral shift operators with finite multiplicity are found, and a reducibility condition for bilateral weighted shift operators (of any multiplicity) is obtained. In some cases the reducing subspaces of these operators are described.
Bibliography: 11 titles.
Received: 04.04.1978
Bibliographic databases:
UDC: 513.88
MSC: 47B37, 47A15
Language: English
Original paper language: Russian
Citation: V. S. Pilidi, “On invariant subspaces of multiple weighted shift operators”, Math. USSR-Izv., 14:2 (1980), 345–365
Citation in format AMSBIB
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\by V.~S.~Pilidi
\paper On~invariant subspaces of multiple weighted shift operators
\jour Math. USSR-Izv.
\yr 1980
\vol 14
\issue 2
\pages 345--365
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  • https://www.mathnet.ru/eng/im/v43/i2/p373
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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