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Proceedings of the Edinburgh Mathematical Society
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Proceedings of the Edinburgh Mathematical Society
Article . 1978 . Peer-reviewed
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Numerical ranges of derivations

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Mar 1978 English Publisher:Cambridge University Press (CUP)Journal:Proceedings of the Edinburgh Mathematical Society, volume 21, pages 33-39 (issn: 0013-0915, eissn: 1464-3839, Copyright policy )
Authors: J. Kyle;

doi: 10.1017/s0013091500015856

Numerical ranges of derivations

Abstract

In this paper we shall examine the relationship between the numerical range of aninner derivation, and that of its implementing element.Much of this paper is taken from the author's doctoral thesis (5) written at theUniversity of Newcastle upon Tyne with the helpful guidance of Professor B. E.Johnson. The author also acknowledges the financial support of the Science ResearchCouncil during the period of this research.

Related Organizations
Keywords

Algebras of operators on Banach spaces and other topological linear spaces, General theory of von Neumann algebras, Linear operators in algebras

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citations
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!
8
Average
Top 10%
Average
bronze