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This article is cited in 14 scientific papers (total in 14 papers)
Multishifts in Hilbert Spaces
P. A. Terekhin Saratov State University named after N. G. Chernyshevsky
Abstract:
We introduce and study a multishift structure in a Hilbert space. This structure is a noncommutative analog of the (simple one-sided) shift operator, well known in function theory and functional analysis. Subspaces invariant
under the multishift are described. A theorem on the factorization into an inner and an outer factor is established for operators commuting with the multishift.
Keywords:
Hilbert space, shift operator, multishift, invariant subspace, wandering subspace, factorization theorem.
Received: 19.03.2003
Citation:
P. A. Terekhin, “Multishifts in Hilbert Spaces”, Funktsional. Anal. i Prilozhen., 39:1 (2005), 69–81; Funct. Anal. Appl., 39:1 (2005), 57–67
Linking options:
https://www.mathnet.ru/eng/faa32https://doi.org/10.4213/faa32 https://www.mathnet.ru/eng/faa/v39/i1/p69
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Abstract page: | 530 | Full-text PDF : | 247 | References: | 51 |
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