Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/14513
Títulos: | Range, kernel orthogonality and operator equations |
Autores/as: | Amouch, Mohamed |
Palabras clave: | Operadores elementales;Ortogonalidad;Ecuación de operadores;Elementary operators |
Fecha de publicación: | 2008 |
Editor/a: | Universidad de Extremadura, Servicio de Publicaciones |
Resumen: | Let A be a Banach algebra and ℒ(A) the algebra of all bounded linear operators acting on A. For a; b ϵ A, the generalized derivation δ ₐ;ь ϵℒ(A) and the Elementary operator Δₐ;ь ϵ ℒ(A) are defined by δₐ;ь(𝓍) = a𝓍 - 𝓍b and Δₐ;b(𝓍) = a𝓍b - 𝓍, 𝓍 ϵ ₐ;ь = δ ₐ;ь or Δ ₐ;ь. In this note we give couples (ₐ;ь) ϵ A² such that the range and the dₐ;ь kernel of ₐ;ь are orthogona in the sense of Birkhoff. As application of this results we give consequences for certain operator equations inspired by earlier studies of the equation 𝛼+α⁻¹=β+ β for automorphism 𝛼; β on Von Neuman algebrasβ for automorphism 𝛼; β on Von Neuman algebras. |
URI: | http://hdl.handle.net/10662/14513 |
ISSN: | 0213-8743 |
Colección: | Extracta Mathematicae Vol. 23, nº 3 (2008) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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0213-8743_23_3_235.pdf | 147,27 kB | Adobe PDF | Descargar |
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