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Proceedings of the American Mathematical Society
Article . 1975 . Peer-reviewed
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Proceedings of the American Mathematical Society
Article . 1975 . Peer-reviewed
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Compact operators in the algebra generated by essentially unitary 𝐶₀ operators

Compact operators in the algebra generated by essentially unitary \(C_0\) operators
Authors: Nordgren, Eric A.;

Compact operators in the algebra generated by essentially unitary 𝐶₀ operators

Abstract

It will be shown that the compact operators in the weakly closed algebra generated by an essentially unitary C 0 {C_0} contraction are weakly dense in the algebra. The result implies the extension of a double dual theorem of Kriete, Moore and Page and yields a partial answer to a question on reductive algebras raised by Rosenthal.

Keywords

Linear operators in algebras, Canonical models for contractions and nonselfadjoint linear operators, Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators

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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!
1
Average
Top 10%
Average
bronze
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