On the hereditary character of new strong variations of Weyl type Theorems
Berkani and Kachad [18], [19], and Sanabria et al. [32], introduced and studied strong variations of Weyl type Theorems. In this paper, we study the behavior of these strong variations of Weyl type theorems for an operator T on a proper closed and Tinvariant subspace W ⊆ X such that T n (X) ⊆ W for...
- Autores:
-
Carpintero, Carlos
Malaver, A
Rosas, E
Sanabria, J
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2019
- Institución:
- Corporación Universitaria del Caribe - CECAR
- Repositorio:
- Repositorio Digital CECAR
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cecar.edu.co:cecar/10928
- Acceso en línea:
- https://repositorio.cecar.edu.co/handle/cecar/10928
- Palabra clave:
- New Weyl-type theorems
Strong variations of Weyl type theorems
Restrictions of operators
Spectral properties
Multiplication operators
- Rights
- openAccess
- License
- Derechos Reservados. Corporación Universitaria del Caribe – CECAR
| Summary: | Berkani and Kachad [18], [19], and Sanabria et al. [32], introduced and studied strong variations of Weyl type Theorems. In this paper, we study the behavior of these strong variations of Weyl type theorems for an operator T on a proper closed and Tinvariant subspace W ⊆ X such that T n (X) ⊆ W for some n ≥ 1, where T ∈ L(X) and X is an infinite-dimensional complex Banach space. The main purpose of this paper is to prove that for these subspaces (which generalize the case T n (X) closed for some n ≥ 0), these strong variations of Weyl type theorems are preserved from T to its restriction on W and vice-versa. As consequence of our results, we give sufficient conditions for which these strong variations of Weyl type Theorems are equivalent for two given operators. Also, some applications to multiplication operators acting on the boundary variation space BV [0, 1] are given. |
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