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Proceedings of the American Mathematical Society
Article . 1978 . Peer-reviewed
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Proceedings of the American Mathematical Society
Article . 1978 . Peer-reviewed
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https://dx.doi.org/10.1090/s00...
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Norm Conditions on Resolvents of Similarities of Hilbert Space Operators and Applications to Direct Sums and Integrals of Operators

Norm conditions on resolvents of similarities of Hilbert space operators and applications to direct sums and integrals of operators
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1978Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 68, page 44 (issn: 0002-9939, Copyright policy )
Authors: Gilfeather, Frank;

doi: 10.2307/2040905 , 10.1090/s0002-9939-1978-0475583-4

Norm Conditions on Resolvents of Similarities of Hilbert Space Operators and Applications to Direct Sums and Integrals of Operators

Abstract

Similarities of an operator T are determined so that on certain sets the norm of the resolvents of the similarity satisfy bounding conditions independent of T . The results are applied to show that direct sums and integrals of operators are quasi-similar to operators with spectrum depending only on the spectrum of the summands.

Keywords

Functional calculus for linear operators, Structure theory of linear operators, Spectrum, resolvent

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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!
3
Average
Top 10%
Average
bronze