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Article . 1977
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Proceedings of the American Mathematical Society
Article . 1977 . Peer-reviewed
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Proceedings of the American Mathematical Society
Article . 1977 . Peer-reviewed
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On bi-quasitriangular operators

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jun 1977 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 64, pages 291-294 (issn: 0002-9939, eissn: 1088-6826, Copyright policy )
Authors: Gray, L. J.;

doi: 10.1090/s0002-9939-1977-0454698-x , 10.2307/2041445

On bi-quasitriangular operators

Abstract

It is shown that the set of nilpotent operators T for which T k {T^k} has closed range for all k is norm dense in the set of all nilpotent operators. A consequence of this is that every bi-quasitriangular operator is a norm limit of operators which are similar to a direct sum of weighted shifts plus scalars.

Keywords

Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, Closed Range, Nilpotent Operator, Bi-Quasitriangular, Algebraic 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!
0
Average
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Average
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