Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/16829
Títulos: | Hereditarily normaloid operators |
Autores/as: | Duggal, B.P. |
Palabras clave: | Teorema de Weyl;Espacio de Banach;Propiedad de extensión de un solo valor;Operadores normaloides;Operadores paranormales y *-paranormales;Banach space;Weyl’s theorem;Single valued extension property;Hereditarily normaloid operators;paranormal and *-paranormal operators |
Fecha de publicación: | 2005 |
Editor/a: | Universidad de Extremadura, Servicio de Publicaciones |
Resumen: | A Banach space operator 𝑇 𝜖 B(𝒳) is said to be hereditarily normaloid, 𝑇 𝜖 HN, if every part of 𝑇 is normaloid; 𝑇 𝜖 HN is totally hereditarily normaloid, 𝑇 𝜖 𝑇 HN, if every invertible part of 𝑇 is also normaloid; and 𝑇 𝜖 CHN if either 𝑇 𝜖 𝑇 HN or 𝑇 ―¸λI is in HN for every complex number ¸. Class CHN is large; it contains a number of the commonly considered classes of operators. We study operators 𝑇 𝜖 CHN, and prove that the Riesz projection associated with a λ¸ 𝜖 isoσ( 𝑇), 𝑇 𝜖 CHN ∩\ B(H) for some Hilbert space H, is self-adjoint if and only if (𝑇―λ I ¯¹(0) ⊆ (𝑇 *― λ I)¯¹(0). Operators 𝑇 𝜖 CHN have the important property that both 𝑇 and the conjugate operator 𝑇 * have the single-valued extension property at points ¸ which are not in the Weyl spectrum of 𝑇; we exploit this property to prove a-Browder and a-Weyl theorems for operators 𝑇 𝜖CHN. |
URI: | http://hdl.handle.net/10662/16829 |
ISSN: | 0213-8743 |
Colección: | Extracta Mathematicae Vol. 20, nº 2 (2005) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_20_2_203_abstract.pdf | 69,04 kB | Adobe PDF | Descargar | |
2605-5686_20_2_203.pdf | 1,61 MB | Adobe PDF | Descargar |
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