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dc.contributor.authorChristianson, B.
dc.date.accessioned2010-08-23T14:19:20Z
dc.date.available2010-08-23T14:19:20Z
dc.date.issued1993
dc.identifier.citationChristianson , B 1993 , Positive fixed points of lattices under semigroups of positive linear operators . UH Computer Science Technical Report , vol. 177 , University of Hertfordshire .
dc.identifier.otherPURE: 89682
dc.identifier.otherPURE UUID: 1e30130f-37db-4c83-b7d6-5cac45befa11
dc.identifier.otherdspace: 2299/4802
dc.identifier.urihttp://hdl.handle.net/2299/4802
dc.description.abstractLet Z be a Banach lattice endowed with positive cone C and an order-continuous norm [...]. Let G be a semigroup of positive linear endomorphisms of Z. We seek conditions on G sufficient to ensure that the positive fixed points Co of Z under G form a lattice cone, and that their linear span Zo is a Banach lattice under an order-continuous norm [...] which agress with [...] on Co, although we do not require that Zo contain all the fixed points of Z under G, nor that Zo be a sublattice of (Z,C). We give a simple embedding construction which allows such results to be read off directly from appropriate fixed point theorems. In particular, we show that left-reversibility of G (a weaker condition than left-amenability) suffices. Results of this kind find application in statistical physics and elsewhere. [see PDF of report for correct notation]en
dc.language.isoeng
dc.publisherUniversity of Hertfordshire
dc.relation.ispartofseriesUH Computer Science Technical Report
dc.rightsOpen
dc.titlePositive fixed points of lattices under semigroups of positive linear operatorsen
dc.contributor.institutionSchool of Computer Science
dc.relation.schoolSchool of Computer Science
dcterms.dateAccepted1993
rioxxterms.typeOther
herts.preservation.rarelyaccessedtrue
herts.rights.accesstypeOpen


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