caa a22 4500 467932263 CHVBK 20180406152946.0 cr unu---uuuuu 170328e20060401xx s 000 0 eng 10.1007/s00020-005-1404-2 doi (NATIONALLICENCE)springer-10.1007/s00020-005-1404-2 Larotonda Gabriel Instituto de Ciencias, Universidad Nacional de General Sarmiento, J.M. Gutiérrez 1150, (1613) Los Polvorines, Buenos Aires, Argentina aut Unitary Orbits in a Full Matrix Algebra [Elektronische Daten] [Gabriel Larotonda] Abstract.: The Hilbert manifold ∑ ∞ consisting of positive invertible (unitized) Hilbert-Schmidt operators has a rich structure and geometry. The geometry of unitary orbits Ω⊂∑ ∞ is studied from the topological and metric viewpoints: we seek for conditions that ensure the existence of a smooth local structure for the set Ω, and we study the convexity of this set for the geodesic structures that arise when we give ∑ ∞ different Riemannian metrics. Birkhäuser Verlag, Basel, 2006 Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 54/4(2006-04-01), 511-523 0378-620X 54:4<511 2006 54 20 https://doi.org/10.1007/s00020-005-1404-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00020-005-1404-2 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Larotonda Gabriel Instituto de Ciencias, Universidad Nacional de General Sarmiento, J.M. Gutiérrez 1150, (1613) Los Polvorines, Buenos Aires, Argentina aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 54/4(2006-04-01), 511-523 0378-620X 54:4<511 2006 54 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer