Products of Idempotent Operators

The goal of this article is to study the set of all products EF with E, F idempotent operators defined on a Hilbert space. We present characterizations of this set in terms of operator ranges, Hilbert space decompositions and generalized inverses.

Detalles Bibliográficos
Autores: Arias, Maria Laura, Corach, Gustavo, Maestripieri, Alejandra Laura
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/39269
Acceso en línea:http://hdl.handle.net/11336/39269
Access Level:acceso abierto
Palabra clave:Factorizations
Generalized Inverses
Idempotent Operators
Projections
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:The goal of this article is to study the set of all products EF with E, F idempotent operators defined on a Hilbert space. We present characterizations of this set in terms of operator ranges, Hilbert space decompositions and generalized inverses.