IAM   02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
Positive decomposition of selfadjoint operators
Autor/es:
GUILLERMINA FONGI; ALEJANDRA MAESTRIPIERI
Revista:
INTEGRAL EQUATIONS AND OPERATOR THEORY
Editorial:
Birkhäuser
Referencias:
Año: 2009
ISSN:
0378-620X
Resumen:
Given a linear bounded selfadjoint operator $a$  on a complex separable Hilbert space $mathcal H$, we study the  decompositions of $a$  as  a difference of two positive operators whose ranges satisfy an angle condition. These decompositions are related  to the canonical decompositions of the  indefinite metric space $(mathcal H, langle , angle_a)$, associated to $a$. As an application,  we characterize the orbit of congruence of  $a$  in terms of its positive decompositions.