On two properties of the numerical range of a bounded Hilbert space operator

Jaime Rodríguez Montes

Publicado

1994-07-01

On two properties of the numerical range of a bounded Hilbert space operator

Palabras clave:

Hilbert and pre-Hilbert spaces, bounded, self-adjoint and normal operators, interior of a set, numerical range and spectrum of an operator, functions of class C1. (es)

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Autores/as

Jaime Rodríguez Montes Universidad Nacional de Colombia

Resumen (en)

Necessary and sufficient conditions are given for the numerical range of a bounded Hilbert space operator to have an empty interior. A sufficient condition for this set to be open is also established.

Cómo citar

APA

Rodríguez Montes, J. (1994). On two properties of the numerical range of a bounded Hilbert space operator. Revista Colombiana de Matemáticas, 28(2), 83–91. https://revistas.unal.edu.co/index.php/recolma/article/view/33473

ACM

[1]

Rodríguez Montes, J. 1994. On two properties of the numerical range of a bounded Hilbert space operator. Revista Colombiana de Matemáticas. 28, 2 (jul. 1994), 83–91.

ACS

(1)

Rodríguez Montes, J. On two properties of the numerical range of a bounded Hilbert space operator. rev.colomb.mat 1994, 28, 83-91.

ABNT

RODRÍGUEZ MONTES, J. On two properties of the numerical range of a bounded Hilbert space operator. Revista Colombiana de Matemáticas, [S. l.], v. 28, n. 2, p. 83–91, 1994. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33473. Acesso em: 10 mar. 2025.

Chicago

Rodríguez Montes, Jaime. 1994. «On two properties of the numerical range of a bounded Hilbert space operator». Revista Colombiana De Matemáticas 28 (2):83-91. https://revistas.unal.edu.co/index.php/recolma/article/view/33473.

Harvard

Rodríguez Montes, J. (1994) «On two properties of the numerical range of a bounded Hilbert space operator», Revista Colombiana de Matemáticas, 28(2), pp. 83–91. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/33473 (Accedido: 10 marzo 2025).

IEEE

[1]

J. Rodríguez Montes, «On two properties of the numerical range of a bounded Hilbert space operator», rev.colomb.mat, vol. 28, n.º 2, pp. 83–91, jul. 1994.

MLA

Rodríguez Montes, J. «On two properties of the numerical range of a bounded Hilbert space operator». Revista Colombiana de Matemáticas, vol. 28, n.º 2, julio de 1994, pp. 83-91, https://revistas.unal.edu.co/index.php/recolma/article/view/33473.

Turabian

Rodríguez Montes, Jaime. «On two properties of the numerical range of a bounded Hilbert space operator». Revista Colombiana de Matemáticas 28, no. 2 (julio 1, 1994): 83–91. Accedido marzo 10, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33473.

Vancouver

1.

Rodríguez Montes J. On two properties of the numerical range of a bounded Hilbert space operator. rev.colomb.mat [Internet]. 1 de julio de 1994 [citado 10 de marzo de 2025];28(2):83-91. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/33473