Shorting selfadjoint operators in Hilbert spaces

Given a closed subspace S of a Hilbert space H and a (bounded) selfadjoint operator B acting on H, a min-max representation of the shorted operator (or Schur complement) of B to S is obtained under compatibility hypotheses. Also, an extension of Pekarev's formula is given.

Guardado en:
Detalles Bibliográficos
Autores principales: Giribet, Juan Ignacio, Maestripieri, Alejandra Laura, Martínez Pería, Francisco Dardo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2008
Materias:
Ciencias Exactas
Matemática
Schur complement
Selfadjoint operator
Shorted operator
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/84288
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
Descripción
Sumario:Given a closed subspace S of a Hilbert space H and a (bounded) selfadjoint operator B acting on H, a min-max representation of the shorted operator (or Schur complement) of B to S is obtained under compatibility hypotheses. Also, an extension of Pekarev's formula is given.

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