Maps on positive cones in operator algebras preserving power means
In this paper we consider power means of positive Hilbert space operators both in the conventional and in the Kubo-Ando senses. We describe the corresponding isomorphisms (bijective transformations respecting those means as binary operations) on positive definite cones and on positive semidefinite c...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
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2020
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| Sorozat: | AEQUATIONES MATHEMATICAE
94 No. 4 |
| Tárgyszavak: | |
| doi: | 10.1007/s00010-019-00684-3 |
| mtmt: | 31436672 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/37376 |
| Tartalmi kivonat: | In this paper we consider power means of positive Hilbert space operators both in the conventional and in the Kubo-Ando senses. We describe the corresponding isomorphisms (bijective transformations respecting those means as binary operations) on positive definite cones and on positive semidefinite cones in operator algebras. We also investigate the question when those two sorts of power means can be transformed into each other. |
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| Terjedelem/Fizikai jellemzők: | 703-722 |
| ISSN: | 0001-9054 |