On Property (Saw) and others spectral properties type Weyl-Browder theorems

J. Sanabria; C. Carpintero; E. Rosas; O. García

doi:10.15446/recolma.v51n2.70899

Publicado

2017-07-01

On Property (Saw) and others spectral properties type Weyl-Browder theorems

Sobre la propidedad (Saw) y otras propiedades espectrales tipo teoremas de Weyl-Browder

DOI:

https://doi.org/10.15446/recolma.v51n2.70899

Palabras clave:

Semi B-Fredholm operator, a-Weyl's theorem, property (Saw), property (Sab) (en)
Operador semi-B-Fredholm, teorema de a-Weyl, propiedad (Saw), propiedad (Sab) (es)

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Autores/as

J. Sanabria Universidad de Oriente y Universidad del Atlántico
C. Carpintero Universidad de Oriente
E. Rosas Universidad de la Costa y Universidad de Oriente
O. García Universidad de Oriente

Resumen (en)
Resumen (es)

An operator T acting on a Banach space X satises the property (aw) if σ(T) \ σ_W(T) = E⁰_a(T), where σ_W (T) is the Weyl spectrum of T and E⁰_a(T) is the set of all eigenvalues of T of finite multiplicity that are isolated in the approximate point spectrum of T. In this paper we introduce and study two new spectral properties, namely (Saw) and (Sab), in connection with Weyl-Browder type theorems. Among other results, we prove that T satisfies property (Saw) if and only if T satisfies property (aw) and σ_SBF^-₊ (T) = σ_W (T), where σ_SBF^-₊ (T) is the upper semi B-Weyl spectrum of T.

Un operador T actuando sobre un espacio de Banach X satisface la propiedad (aw) si σ(T) \ σ_W(T) = E⁰_a(T), donde σ_W (T) es el espectro de Weyl de T y E⁰_a(T) es el conjunto de todos los autovalores de T de multiplicidad finita que son aislados en el espectro aproximado puntual de T. En este artículo introducimos y estudiamos dos nuevas propiedades espectrales, llamadas (Saw) y (Sab), en conexión con teoremas tipo Weyl-Browder. Entre otros resultados, mostramos que T satisface la propiedad (Saw) si y sólo si T satisface la propiedad (aw) y σ_SBF^-₊ (T) = σ_W (T), donde σ_SBF^-₊ (T) es el espectro superiormente semi B-Weyl de T.

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Cómo citar

APA

Sanabria, J., Carpintero, C., Rosas, E. y García, O. (2017). On Property (Saw) and others spectral properties type Weyl-Browder theorems. Revista Colombiana de Matemáticas, 51(2), 153–171. https://doi.org/10.15446/recolma.v51n2.70899

ACM

[1]

Sanabria, J., Carpintero, C., Rosas, E. y García, O. 2017. On Property (Saw) and others spectral properties type Weyl-Browder theorems. Revista Colombiana de Matemáticas. 51, 2 (jul. 2017), 153–171. DOI:https://doi.org/10.15446/recolma.v51n2.70899.

ACS

(1)

Sanabria, J.; Carpintero, C.; Rosas, E.; García, O. On Property (Saw) and others spectral properties type Weyl-Browder theorems. rev.colomb.mat 2017, 51, 153-171.

ABNT

SANABRIA, J.; CARPINTERO, C.; ROSAS, E.; GARCÍA, O. On Property (Saw) and others spectral properties type Weyl-Browder theorems. Revista Colombiana de Matemáticas, [S. l.], v. 51, n. 2, p. 153–171, 2017. DOI: 10.15446/recolma.v51n2.70899. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/70899. Acesso em: 2 feb. 2025.

Chicago

Sanabria, J., C. Carpintero, E. Rosas, y O. García. 2017. «On Property (Saw) and others spectral properties type Weyl-Browder theorems». Revista Colombiana De Matemáticas 51 (2):153-71. https://doi.org/10.15446/recolma.v51n2.70899.

Harvard

Sanabria, J., Carpintero, C., Rosas, E. y García, O. (2017) «On Property (Saw) and others spectral properties type Weyl-Browder theorems», Revista Colombiana de Matemáticas, 51(2), pp. 153–171. doi: 10.15446/recolma.v51n2.70899.

IEEE

[1]

J. Sanabria, C. Carpintero, E. Rosas, y O. García, «On Property (Saw) and others spectral properties type Weyl-Browder theorems», rev.colomb.mat, vol. 51, n.º 2, pp. 153–171, jul. 2017.

MLA

Sanabria, J., C. Carpintero, E. Rosas, y O. García. «On Property (Saw) and others spectral properties type Weyl-Browder theorems». Revista Colombiana de Matemáticas, vol. 51, n.º 2, julio de 2017, pp. 153-71, doi:10.15446/recolma.v51n2.70899.

Turabian

Sanabria, J., C. Carpintero, E. Rosas, y O. García. «On Property (Saw) and others spectral properties type Weyl-Browder theorems». Revista Colombiana de Matemáticas 51, no. 2 (julio 1, 2017): 153–171. Accedido febrero 2, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/70899.

Vancouver

1.

Sanabria J, Carpintero C, Rosas E, García O. On Property (Saw) and others spectral properties type Weyl-Browder theorems. rev.colomb.mat [Internet]. 1 de julio de 2017 [citado 2 de febrero de 2025];51(2):153-71. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/70899

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