Geometry of unitary orbits of oblique projections

ESTEBAN ANDRUCHOW, GUSTAVO CORACH, ALEJANDRA MAESTRIPIERI

ACTA SCIENTIARUM MATHEMATICARUM (SZEGED)

János Bolyai Mathematical Institute

Lugar: Szeged; Año: 2010 vol. 76 p. 659 - 681

0001-6969

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 geodesics is investigated. unitaries, and obtain a partial characterization of the submanifold condition for these orbits. Finsler metrics are introduced, and the minimality of metric geodesics is investigated. unitaries, and obtain a partial characterization of the submanifold condition for these orbits. Finsler metrics are introduced, and the minimality of metric geodesics is investigated. 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 geodesics is investigated.