Molnár, Lajos: Maps between the positive definite cones of operator algebras preserving a norm of a geodesic correspondence. In: 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 |
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Journal or Publication Title: | Acta scientiarum mathematicarum |
Date: | 2018 |
Volume: | 84 |
Number: | 3-4 |
ISSN: | 0001-6969 |
Page Range: | pp. 451-463 |
Official URL: | http://www.acta.hu |
DOI: | https://doi.org/10.14232/actasm-018-514-x |
Uncontrolled Keywords: | Algebra |
Additional Information: | Bibliogr.: p. 462-463. ; összefoglalás angol nyelven |
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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