dc.contributor.author | De Jager, Pierre | |
dc.contributor.author | Conradie, Jurie | |
dc.date.accessioned | 2019-11-06T09:43:48Z | |
dc.date.available | 2019-11-06T09:43:48Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | De Jager, P. & Conradie, J. 2020. Isometries between non-commutative symmetric spaces associated with semi-finite von Neumann algebras. Positivity, 24:815-835. [https://doi.org/10.1007/s11117-019-00711-2] | en_US |
dc.identifier.issn | 1385-1292 | |
dc.identifier.issn | 1572-9281 (Online) | |
dc.identifier.uri | http://hdl.handle.net/10394/33555 | |
dc.identifier.uri | https://link.springer.com/article/10.1007/s11117-019-00711-2 | |
dc.identifier.uri | https://doi.org/10.1007/s11117-019-00711-2 | |
dc.description.abstract | We show that positive surjective isometries between symmetric spaces associated with semi-finite von Neumann algebras are projection disjointness preserving if they are finiteness preserving. This is subsequently used to obtain a structural description of such isometries. Furthermore, it is shown that if the initial symmetric space is a strongly symmetric space with absolutely continuous norm, then a similar structural description can be obtained without requiring positivity of the isometry | en_US |
dc.language.iso | en | en_US |
dc.publisher | Springer | en_US |
dc.subject | Isometries | en_US |
dc.subject | Disjointness preserving | en_US |
dc.subject | Non-commutative symmetric spaces | en_US |
dc.subject | Jordan homomorphisms | en_US |
dc.title | Isometries between non-commutative symmetric spaces associated with semi-finite von Neumann algebras | en_US |
dc.type | Article | en_US |
dc.contributor.researchID | 28190459 - De Jager, Pierre | |