Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/15348
| Títulos: | Perturbations of operators satisfying a local growth condition |
| Autores/as: | Duggal, B.P. |
| Palabras clave: | Espacio de Banach;Condición de crecimiento local;Propiedad de extensión de valor único;Browder teoremas de Weyl;Operador de Riesz;Perturbación;Operador polinomialmente local (Gₘ);Banach space;Local growth condition;Single valued extension property,;Browder Weyl theorems;Riesz operator;Perturbation;Polynomially locally (Gₘ) operator. |
| Fecha de publicación: | 2008 |
| Editor/a: | Universidad de Extremadura, Servicio de Publicaciones |
| Resumen: | A Banach space operator Τ ∊ 𝙱 (𝒳) satisfies a local growth condition of order 𝓂 for some positive integer 𝓂 , Τ ∊ loc(Gₘ), if for every closed subset 𝐹 of the set of complex numbers and every x in the glocal spectral subspace Xₜ (𝐹) there exists an analytic function 𝘧 : C⟍𝐹 →𝒳 such that (Τ―λ¸) 𝘧 (λ¸) ≡𝔵 and ∥𝘧(λ¸)∥≤𝛫[dist(λ; 𝐹)]¯¯ͫ ǁ𝔵ǁ for some 𝛫 > 0 (independent of 𝐹 and 𝔵). Browder-Weyl type theorems are proved for perturbations by an algebraic operator of operators which are either loc(Gₘ) or polynomially loc(Gₘ). |
| URI: | http://hdl.handle.net/10662/15348 |
| ISSN: | 0213-8743 |
| Colección: | Extracta Mathematicae Vol. 23, nº 1 (2008) |
Archivos
| Archivo | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| 2605-5686_23_1_29.pdf | 196,91 kB | Adobe PDF | Descargar |
Este elemento está sujeto a una licencia Licencia Creative Commons
