Artículo

Range additivity, shorted operator and the Sherman-Morrison-Woodbury formula

Arias, Maria LauraIcon ; Corach, GustavoIcon ; Maestripieri, Alejandra LauraIcon
Fecha de publicación: 19/11/2014
Editorial: Elsevier
Revista: Linear Algebra and its Applications
ISSN: 0024-3795
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

We say that two operators A, B have the range additivity property if R(A + B) = R(A) + R(B). In this article we study the relationship between range additivity, shorted operator and certain Hilbert space decomposition known as compatibility. As an application, we extend to infinite dimensional Hilbert space operators a formula of Fill and Fishkind related to the well-known Sherman–Morrison– Woodbury formula.
Palabras clave: Aditividad de Rangos , Compatibilidad , Pseudoinversas
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/18929
DOI: http://dx.doi.org/10.1016/j.laa.2014.11.001
URL: http://www.sciencedirect.com/science/article/pii/S0024379514007241
URL: https://arxiv.org/abs/1409.1958
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Articulos(IAM)
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Citación
Arias, Maria Laura; Corach, Gustavo; Maestripieri, Alejandra Laura; Range additivity, shorted operator and the Sherman-Morrison-Woodbury formula; Elsevier; Linear Algebra and its Applications; 467; 19-11-2014; 86-99
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