Molnár, Lajos: Maps between the positive definite cones of operator algebras preserving a norm of a geodesic correspondence. Acta scientiarum mathematicarum, (84) 3-4. pp. 451-463. (2018)
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Abstract
We prove that any bijective map between the positive definite cones of von Neumann algebras which preserves a certain unitarily invariant norm of a particular weighted geometric mean of elements is essentially (up to two-sided multiplication by an invertible positive element) equal to the restriction of a Jordan *-isomorphism between the algebras.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta scientiarum mathematicarum |
| Date: | 2018 |
| Volume: | 84 |
| Number: | 3-4 |
| Page Range: | pp. 451-463 |
| ISSN: | 0001-6969 |
| DOI: | https://doi.org/10.14232/actasm-018-514-x |
| Uncontrolled Keywords: | Algebra |
| Additional Information: | Bibliogr.: p. 462-463. ; összefoglalás angol nyelven |
| Official URL: | http://www.acta.hu |
| Date Deposited: | 2019. Jan. 30. 05:35 |
| Last Modified: | 2019. Sep. 09. 13:44 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/56925 |
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