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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Science in China Ser...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Science in China Series A Mathematics
Article . 2001 . Peer-reviewed
License: Springer TDM
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Article . 2001
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https://dx.doi.org/10.1007/bf0...
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Nilpotent operators similar to irreducible operators

Nilpotent operators similar to irreducible operators.
descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2001 English Publisher:Springer Science and Business Media LLCJournal:Science in China Series A: Mathematics, volume 44, pages 1,544-1,557 (issn: 1006-9283, eissn: 1862-2763, Copyright policy )
Authors: Jiang, Chunlan; Guo, Xianzhou; Yang, Yongfa;

doi: 10.1007/bf02880794

Nilpotent operators similar to irreducible operators

Abstract

The main result of the present article claims that a bounded nilpotent operator \(T\) on a Hilbert space is similar to an irreducible operator if and only if \(T\) is of infinite rank and \(T^2 \neq 0\).

Related Organizations
Keywords

Structure theory of linear operators, finite-rank operator, nilpotent operator, similarity, irreducible operator

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
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