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 |
|