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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Mathematische Zeitsc...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Mathematische Zeitschrift
Article . 1986 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1986
Data sources: zbMATH Open
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Positive elements and theB * condition

Positive elements and the \(B^ *\) condition
Authors: Harte, Robin; Searcóid, Micheál ó;

Positive elements and theB * condition

Abstract

The basic theory of the ''positive elements'' of a \(B^*\)-algebra is derived from the \(B^*\) condition by a combination of totally elementary argument, the spectral radius formula and the square root lemma. In the process a sort of ''topological norm additivity'' emerges for positive elements. In this note we do two things: we try to properly locate the additivity condition in the development of the theory of positive elements, and we use it to extend ''spectral permanence'' from single elements to more general systems.

Country
Germany
Related Organizations
Keywords

spectral radius formula, General theory of \(C^*\)-algebras, 510.mathematics, spectral permanence, positive elements of a \(B^ *\)-algebra, square root lemma, topological norm additivity, Article

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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!
2
Average
Average
Average
Green