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Proceedings of the American Mathematical Society
Article . 1993 . Peer-reviewed
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Proceedings of the American Mathematical Society
Article . 1993 . Peer-reviewed
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On Isolated Points of the Spectrum of a Bounded Linear Operator

On isolated points of the spectrum of a bounded linear operator
Authors: Schmoeger, Christoph;

On Isolated Points of the Spectrum of a Bounded Linear Operator

Abstract

For a bounded linear operator A A on a Banach space we characterize the isolated points in the spectrum of A A , the Riesz points of A A , and the poles of the resolvent of A A .

Country
Germany
Related Organizations
Keywords

ddc:510, Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Riesz points, isolated points of the spectrum, resolvent, Spectrum, resolvent, Mathematics, info:eu-repo/classification/ddc/510, 510, Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators

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    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).
    29
    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.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
29
Top 10%
Top 10%
Average
Green
bronze