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: |
2018
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| Sorozat: | Acta scientiarum mathematicarum
84 No. 3-4 |
| Kulcsszavak: | Algebra |
| doi: | 10.14232/actasm-018-514-x |
| Online Access: | http://acta.bibl.u-szeged.hu/56925 |
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| 100 | 1 | |a Molnár Lajos | |
| 245 | 1 | 0 | |a Maps between the positive definite cones of operator algebras preserving a norm of a geodesic correspondence |h [elektronikus dokumentum] / |c Molnár Lajos |
| 260 | |c 2018 | ||
| 300 | |a 451-463 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 84 No. 3-4 | |
| 520 | 3 | |a 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. | |
| 695 | |a Algebra | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/56925/1/math_084_numb_003-004_451-463.pdf |z Dokumentum-elérés |