IAM   02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
Schur complements in Krein spaces
Autor/es:
A. MAESTRIPIERI; F. MARTÍNEZ PERÍA
Revista:
INTEGRAL EQUATIONS AND OPERATOR THEORY
Referencias:
Año: 2007 vol. 59 p. 207 - 207
ISSN:
0378-620X
Resumen:
The aim of this work is to generalize the notions of Schur complements and shorted operators to Krein spaces. Given a (bounded) J-selfadjoint operator A (with the unique factorization property) acting on a Krein space H and a suitable closed subspace S of H, the Schur complement sh{A} of A to S is defined. The basic properties of sh{A} are developed and different characterizations are given, most of them resembling those of the shorted of (bounded) positive operators on a Hilbert space.