Schur Complements in Krein Spaces

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 A/[S] of A to S is d...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Maestripieri, Alejandra Laura, Martínez Pería, Francisco Dardo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2007
Materias:
Matemática
Combinatorics
Space (mathematics)
Algebra
Unique factorization domain
Schur complement
Subspace topology
Mathematics
Bounded function
Hilbert space
Operator (computer programming)
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/127101
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
Descripción
Sumario: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 A/[S] of A to S is defined. The basic properties of A/[S] are developed and different characterizations are given, most of them resembling those of the shorted of (bounded) positive operators on a Hilbert space

Ejemplares similares