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dc.contributor.author | Hamhalter J. | |
dc.contributor.author | Turilova E. | |
dc.date.accessioned | 2018-09-19T22:10:20Z | |
dc.date.available | 2018-09-19T22:10:20Z | |
dc.date.issued | 2016 | |
dc.identifier.issn | 1995-0802 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/144805 | |
dc.description.abstract | © 2016, Pleiades Publishing, Ltd.We study the spectral order on the set of positive contractions in an AW*-algebra. We introduce the concept of lattice theoretic center of the resulting spectral lattice and show that it coincides with the algebraic center of the underlying AW*-algebra A if A is finite. By applying this result we generalize hitherto known characterizations of preserves of the spectral order by showing that any bijection φ acting on the spectral lattice of a finite AW*-algebra that preserves spectral order and orthogonality in both directions is a composition of function calculus and a Jordan *-isomorphism. We show that this result holds in a wide context of all AW*-algebras provided that φ preserves in addition the multiples of unity. | |
dc.relation.ispartofseries | Lobachevskii Journal of Mathematics | |
dc.subject | AW*-algebras | |
dc.subject | preservers | |
dc.subject | Spectral order | |
dc.title | Spectral order on AW*-algebras and its preservers | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 4 | |
dc.relation.ispartofseries-volume | 37 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 439 | |
dc.source.id | SCOPUS19950802-2016-37-4-SID84978541069 |