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...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Andruchow Esteban
Corach Gustavo
Maestripieri Alejandra
Dokumentumtípus: Cikk
Megjelent: Bolyai Institute, University of Szeged Szeged 2010
Sorozat:Acta scientiarum mathematicarum 76 No. 3-4
Kulcsszavak:Matematika, Geometria
Tárgyszavak:
Online Access:http://acta.bibl.u-szeged.hu/16370
Leíró adatok
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.
Terjedelem/Fizikai jellemzők:659-681
ISSN:0001-6969