On the set of operators having a given simply connected spectral set

Mahmoud Kutkut

Publié-e

1981-07-01

On the set of operators having a given simply connected spectral set

Mots-clés :

Family Properties, operators, joint spectral connected set, topology, tensor products / Propiedades de la familia, operadores, conjunto espectrale, conjunto conexo, topología, productos tensorial (en)
Propiedades de la familia, operadores, conjunto espectrale, conjunto conexo, topología, productos tensorial / Family Properties, operators, joint spectral connected set, topology, tensor products (es)

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Auteurs-es

Mahmoud Kutkut Yarmouk University

Résumé (en)
Résumé (es)

We study some properties of the set of operators"having"a given compact simply connected set as a spectral set. Such set of operators is arcwise connected, and closed in the uniform (norm) topology if the spectral set is convex. Also we study the "tensor product" of such two sets of operators.

Se estudian algunas propiedades de la familia de operadores que poseen un conjunto dado, compacto y simplemente conexo, como uno de sus conjuntos espectrales. Estos operadores forman un conjunto conexo por arcos el cual es cerrado en la topología de la norma si el conjunto espectral es conexo. También se estudia un "productos tensorial" entre tales familias de operadores.

Comment citer

APA

Kutkut, M. (1981). On the set of operators having a given simply connected spectral set. Revista Colombiana de Matemáticas, 15(3-4), 147–155. https://revistas.unal.edu.co/index.php/recolma/article/view/32309

ACM

[1]

Kutkut, M. 1981. On the set of operators having a given simply connected spectral set. Revista Colombiana de Matemáticas. 15, 3-4 (juill. 1981), 147–155.

ACS

(1)

Kutkut, M. On the set of operators having a given simply connected spectral set. rev.colomb.mat 1981, 15, 147-155.

ABNT

KUTKUT, M. On the set of operators having a given simply connected spectral set. Revista Colombiana de Matemáticas, [S. l.], v. 15, n. 3-4, p. 147–155, 1981. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/32309. Acesso em: 22 janv. 2025.

Chicago

Kutkut, Mahmoud. 1981. « On the set of operators having a given simply connected spectral set ». Revista Colombiana De Matemáticas 15 (3-4):147-55. https://revistas.unal.edu.co/index.php/recolma/article/view/32309.

Harvard

Kutkut, M. (1981) « On the set of operators having a given simply connected spectral set », Revista Colombiana de Matemáticas, 15(3-4), p. 147–155. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/32309 (Consulté le: 22 janvier 2025).

IEEE

[1]

M. Kutkut, « On the set of operators having a given simply connected spectral set », rev.colomb.mat, vol. 15, nᵒ 3-4, p. 147–155, juill. 1981.

MLA

Kutkut, M. « On the set of operators having a given simply connected spectral set ». Revista Colombiana de Matemáticas, vol. 15, nᵒ 3-4, juillet 1981, p. 147-55, https://revistas.unal.edu.co/index.php/recolma/article/view/32309.

Turabian

Kutkut, Mahmoud. « On the set of operators having a given simply connected spectral set ». Revista Colombiana de Matemáticas 15, no. 3-4 (juillet 1, 1981): 147–155. Consulté le janvier 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/32309.

Vancouver

1.

Kutkut M. On the set of operators having a given simply connected spectral set. rev.colomb.mat [Internet]. 1 juill. 1981 [cité 22 janv. 2025];15(3-4):147-55. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/32309