INVESTIGADORES
FONGI Guillermina
artículos
Título:
Congruence of selfadjoint operators
Autor/es:
GUILLERMINA FONGI; ALEJANDRA MAESTRIPIERI
Revista:
POSITIVITY
Editorial:
Birkhäuser
Referencias:
Lugar: Basel; Año: 2009 vol. 13 p. 759 - 770
ISSN:
1385-1292
Resumen:
Given a bounded selfadjoint operator a in a Hilbert space $mathcal H$, the aim of this paper is to study the orbit of  $a$, i.e., the set of operators which are congruent to $a$. We establish  some necessaryand sufficient conditions for an operator to be in the orbit of $a$. Also, the orbit of a selfadjoint operator with closed range  is provided with a structure of  differential manifold.