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Funktsional'nyi Analiz i ego Prilozheniya, 2005, Volume 39, Issue 1, Pages 69–81
DOI: https://doi.org/10.4213/faa32 (Mi faa32) 		 
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
Full-text PDF (196 kB) Citations (14)
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DOI: https://doi.org/10.4213/faa32
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
English version:
Functional Analysis and Its Applications, 2005, Volume 39, Issue 1, Pages 57–67
DOI: https://doi.org/10.1007/s10688-005-0017-5
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
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
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/faa/v39/i1/p69
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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