Additivity properties of operator ranges

In the present paper we study different conditions regarding the sum of operator ranges. In particular, we find conditions on operators A, B which imply that R(A+B)=R(A)+R(B) and derive some results concerning projections.

Detalles Bibliográficos
Autores: Arias, Maria Laura, Corach, Gustavo, Gonzalez, María Celeste
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/3367
Acceso en línea:http://hdl.handle.net/11336/3367
Access Level:acceso abierto
Palabra clave:Operator Ranges
Douglas' Theorem
Oblique Projections
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:In the present paper we study different conditions regarding the sum of operator ranges. In particular, we find conditions on operators A, B which imply that R(A+B)=R(A)+R(B) and derive some results concerning projections.