Presentación | Participantes | Bibliografía (DML-E) | Bibliografía adicional | Enlaces de interés | Otros proyectos DML | Ayuda
INICIO |
27 de julio de 2024
Hereditarily normaloid operators.
| Título inglés | Hereditarily normaloid operators. |
|---|---|
| Título español | Operadores hereditariamente normaloides. |
| Autor/es | Duggal, Bhagwati Prashad |
| Organización | Londres, Reino Unido |
| Revista | 0213-8743 |
| Publicación | 2005, 20 (2): 203-217, 34 Ref. |
| Tipo de documento | articulo |
| Idioma | Inglés |
| Resumen inglés | A Banach space operator T belonging to B(X) is said to be hereditarily normaloid, T Î HN, if every part of T is normaloid; T Î HN is totally hereditarily normaloid, T Î THN, if every invertible part of T is also normaloid; and T Î CHN if either T Î THN or T - λI is in HN for every complex number λ. Class CHN is large; it contains a number of the commonly considered classes of operators. We study operators T Î CHN, and prove that the Riesz projection associated with a λ Î isoσ(T), T Î CHN ∩ B(H) for some Hilbert space H, is self-adjoint if and only if (T - λI)-1(0) Í (T* - λI)-1(0). Operators T Î CHN have the important property that both T and the conjugate operator T* have the single-valued extension property at points λ which are nor in the Weyl spectrum of T; we exploit this property to prove a-Browder and a-Weyl theorems for operators T Î CHN. |
| Código MathReviews | MR2195202 |
| Código Z-Math | Zbl 1097.47005 |
 Acceso al artículo completo |
|