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Antezana, J.; Corach, G.; Stojanoff, D. "Bilateral shorted operators and parallel sums" (2006) Linear Algebra and Its Applications. 414(2-3):570-588
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Abstract:

In this paper we study shorted operators relative to two different subspaces, for bounded operators on infinite dimensional Hilbert spaces. We define two notions of "complementability" in the sense of Ando for operators, and study the properties of the shorted operators when they can be defined. We use these facts in order to define and study the notions of parallel sum and subtraction, in this Hilbertian context. © 2005 Elsevier Inc. All rights reserved.

Registro:

Documento: Artículo
Título:Bilateral shorted operators and parallel sums
Autor:Antezana, J.; Corach, G.; Stojanoff, D.
Filiación:Departamento de Matemática, FCE-UNLP, La Plata, Argentina
IAM-CONICET, Argentina
Departamento de Matemática, FI-UBA, IAM-CONICET, Saavedra 15, Piso 3 (1083), Buenos Aires, Argentina
Palabras clave:Minus order; Parallel subtraction; Parallel sum; Schur complements; Shorted operators; Minus order; Parallel subtraction; Parallel sum; Schur complements; Shorted operators; Linear algebra; Mathematical models; Parallel algorithms; Problem solving; Mathematical operators
Año:2006
Volumen:414
Número:2-3
Página de inicio:570
Página de fin:588
DOI: http://dx.doi.org/10.1016/j.laa.2005.10.039
Título revista:Linear Algebra and Its Applications
Título revista abreviado:Linear Algebra Its Appl
ISSN:00243795
CODEN:LAAPA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v414_n2-3_p570_Antezana

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Citas:

---------- APA ----------
Antezana, J., Corach, G. & Stojanoff, D. (2006) . Bilateral shorted operators and parallel sums. Linear Algebra and Its Applications, 414(2-3), 570-588.
http://dx.doi.org/10.1016/j.laa.2005.10.039
---------- CHICAGO ----------
Antezana, J., Corach, G., Stojanoff, D. "Bilateral shorted operators and parallel sums" . Linear Algebra and Its Applications 414, no. 2-3 (2006) : 570-588.
http://dx.doi.org/10.1016/j.laa.2005.10.039
---------- MLA ----------
Antezana, J., Corach, G., Stojanoff, D. "Bilateral shorted operators and parallel sums" . Linear Algebra and Its Applications, vol. 414, no. 2-3, 2006, pp. 570-588.
http://dx.doi.org/10.1016/j.laa.2005.10.039
---------- VANCOUVER ----------
Antezana, J., Corach, G., Stojanoff, D. Bilateral shorted operators and parallel sums. Linear Algebra Its Appl. 2006;414(2-3):570-588.
http://dx.doi.org/10.1016/j.laa.2005.10.039