Geometry of unitary orbits of oblique projections
We study those orbits of oblique projections under the action of the full unitary group of a Hilbert space H, which are submanifolds of B(H.). We also consider orbits under the Schatten unitaries, and obtain a partial characterization of the submanifold condition for these orbits. Finsler metrics ar...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2010
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| Sorozat: | Acta scientiarum mathematicarum
76 No. 3-4 |
| Kulcsszavak: | Matematika, Geometria |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16370 |
| Tartalmi kivonat: | We study those orbits of oblique projections under the action of the full unitary group of a Hilbert space H, which are submanifolds of B(H.). We also consider orbits under the Schatten unitaries, and obtain a partial characterization of the submanifold condition for these orbits. Finsler metrics are introduced, and the minimality of metric geodesies is investigated. |
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| Terjedelem/Fizikai jellemzők: | 659-681 |
| ISSN: | 0001-6969 |