The Study of Maps Completely Preserving *-Jordan Zero Products on Factor von Neumann Algebras
In order to characterize the maps completely preserving *Jordan zeroproducts on factor von Neumann algebras, according to the definition of bilateral complete preserving *Jordan zeroproducts and bilateral 2preserving *Jordan zeroproducts, taking a completely preserve approach, it is proved that if Φ...
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| Format: | Article |
| Language: | zho |
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Harbin University of Science and Technology Publications
2018-12-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1627 |
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| author | LIU Hong-yu HUO Dong-hua |
| author_facet | LIU Hong-yu HUO Dong-hua |
| author_sort | LIU Hong-yu |
| collection | DOAJ |
| description | In order to characterize the maps completely preserving *Jordan zeroproducts on factor von Neumann algebras, according to the definition of bilateral complete preserving *Jordan zeroproducts and bilateral 2preserving *Jordan zeroproducts, taking a completely preserve approach, it is proved that if Φ is a surjection of von Neumann algebra A to B，then Φis the nonzero scalar multiple of linear or conjugate linear*isomorphism |
| format | Article |
| id | doaj-art-48acb86fc5ec430a99c4e231cd0141d9 |
| institution | DOAJ |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2018-12-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-48acb86fc5ec430a99c4e231cd0141d92025-08-20T03:10:38ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832018-12-01230615115610.15938/j.jhust.2018.06.027The Study of Maps Completely Preserving *-Jordan Zero Products on Factor von Neumann AlgebrasLIU Hong-yu0HUO Dong-hua1School of Mathematical Sciences, Mudanjiang Normal University, Mudanjiang 157012, ChinaSchool of Mathematical Sciences, Mudanjiang Normal University, Mudanjiang 157012, ChinaIn order to characterize the maps completely preserving *Jordan zeroproducts on factor von Neumann algebras, according to the definition of bilateral complete preserving *Jordan zeroproducts and bilateral 2preserving *Jordan zeroproducts, taking a completely preserve approach, it is proved that if Φ is a surjection of von Neumann algebra A to B，then Φis the nonzero scalar multiple of linear or conjugate linear*isomorphismhttps://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1627bilateral complete preserving * jordan zero productsbilateral 2 preserving * jordan zero productsfactor von neumann algebras |
| spellingShingle | LIU Hong-yu HUO Dong-hua The Study of Maps Completely Preserving *-Jordan Zero Products on Factor von Neumann Algebras Journal of Harbin University of Science and Technology bilateral complete preserving * jordan zero products bilateral 2 preserving * jordan zero products factor von neumann algebras |
| title | The Study of Maps Completely Preserving *-Jordan Zero Products on Factor von Neumann Algebras |
| title_full | The Study of Maps Completely Preserving *-Jordan Zero Products on Factor von Neumann Algebras |
| title_fullStr | The Study of Maps Completely Preserving *-Jordan Zero Products on Factor von Neumann Algebras |
| title_full_unstemmed | The Study of Maps Completely Preserving *-Jordan Zero Products on Factor von Neumann Algebras |
| title_short | The Study of Maps Completely Preserving *-Jordan Zero Products on Factor von Neumann Algebras |
| title_sort | study of maps completely preserving jordan zero products on factor von neumann algebras |
| topic | bilateral complete preserving * jordan zero products bilateral 2 preserving * jordan zero products factor von neumann algebras |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1627 |
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