Maps between the positive definite cones of operator algebras preserving a norm of a geodesic correspondence
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 restrictio...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2018
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| Sorozat: | Acta scientiarum mathematicarum
84 No. 3-4 |
| Kulcsszavak: | Algebra |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-018-514-x |
| Online Access: | http://acta.bibl.u-szeged.hu/56925 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 451-463 |
| ISSN: | 0001-6969 |