Indefinite least-squares problems and pseudo-regularity

The indefinite least-squares problem has been thoroughly studied before under the assumption that the range of C is a uniformly J-positive subspace of K. Along this article the range of C is only supposed to be a J-nonnegative pseudo-regular subspace of K. This work is devoted to present a descripti...

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Detalles Bibliográficos
Autores: Giribet, Juan Ignacio, Maestripieri, Alejandra Laura, Martinez Peria, Francisco Dardo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/2670
Acceso en línea:http://hdl.handle.net/11336/2670
Access Level:acceso abierto
Palabra clave:Espacios de Krein
Proyecciones Normales
Cuadrados Minimos Indefinidos
Krein Space
Pseudo-Regular Subspace
Indefinite Least-Squares
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:The indefinite least-squares problem has been thoroughly studied before under the assumption that the range of C is a uniformly J-positive subspace of K. Along this article the range of C is only supposed to be a J-nonnegative pseudo-regular subspace of K. This work is devoted to present a description for the set of solutions of this abstract problem in terms of the family of J-normal projections onto the range of C.