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Bulletin of the Australian Mathematical Society
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Bulletin of the Australian Mathematical Society
Article . 1983 . Peer-reviewed
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On linear operators on ordered banach spaces

On linear operators on ordered Banach spaces
descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1983 English Publisher:Cambridge University Press (CUP)Journal:Bulletin of the Australian Mathematical Society, volume 27, pages 285-305 (issn: 0004-9727, eissn: 1755-1633, Copyright policy )
Authors: Yamamuro, Sadayuki;

doi: 10.1017/s0004972700025764

On linear operators on ordered banach spaces

Abstract

The order structure of the space of all continuous linear operators on an ordered Banach space is studied. The main topic is the Robinson property, that is, the norm of a positive linear operator is attained on the positive unit cone.

Related Organizations
Keywords

Banach lattices, half-norm, Norms (inequalities, more than one norm, etc.) of linear operators, ordered Banach space, norm attaining operator, Linear operators on ordered spaces, positive operator, Ordered topological linear spaces, vector lattices

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    popularity
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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!
7
Average
Top 10%
Top 10%
bronze