| dc.contributor.author | Christianson, B. | |
| dc.date.accessioned | 2010-04-14T14:59:52Z | |
| dc.date.available | 2010-04-14T14:59:52Z | |
| dc.date.issued | 1989 | |
| dc.identifier.citation | Christianson , B 1989 , ' The positive fixed points of Banach lattices ' , Proceedings of the American Mathematical Society , vol. 107 , no. 1 , pp. 255-260 . | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.other | dspace: 2299/4415 | |
| dc.identifier.uri | http://hdl.handle.net/2299/4415 | |
| dc.description | Original article can be found at: http://www.ams.org/publications/journals/journalsframework/proc Copyright AMS. | |
| dc.description.abstract | Let Z be a Banach lattice endowed with positive cone C and an order-continuous norm j.j . Let G be a left-amenable semigroup of positive linear endomorphisms of Z . Then the positive fixed points Co of Z under G form a lattice cone, and their linear span Z0 is a Banach lattice under an order-continuous norm ||.||0 which agrees with |.| on Co. A counterexample shows that under the given conditions Z0 need not contain all the fixed points of Z under G , and need not be a sublattice of (Z, C). The paper concludes with a discussion of some related results. | en |
| dc.format.extent | 482695 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Proceedings of the American Mathematical Society | |
| dc.title | The positive fixed points of Banach lattices | en |
| dc.contributor.institution | School of Computer Science | |
| dc.contributor.institution | Centre for Computer Science and Informatics Research | |
| dc.description.status | Peer reviewed | |
| rioxxterms.type | Journal Article/Review | |
| herts.preservation.rarelyaccessed | true | |
