Publicado

2017-07-01

On a-Topological Vector Spaces anda-irresolute gauges

Sobre a-espacios vectoriales topológicos y a-calibres irresolutos

Palabras clave:

a-open set, pseudonorm, locally convex a-topological vector space (en)
a-conjunto abierto, pseudonorma, a-espacio vectorial topológico localmente convexo (es)

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Autores/as

  • Talal Al-Hawary Yarmouk University
The aim of this paper is to provide a characterization of α-irresolute maps that were introduced in [1]. If p is the gauge of an absolutely convex and absorbent subset U of an α-topological vector space, then p is shown to be α-irresolute if and only if U is an α-neighborhood of 0.
El objetivo de este artículo es proporcionar una caracterización de funciones α-irresolutas que fueron introducidas en [1]. Si p es el calibre de un subconjunto U de un espacio vectorial topológico que es absorvente y absolutamente convexo, entonces se demuestra que p es α-irresoluto si y solo si U es una α-vecindad de 0.

Referencias

T. Al-Hawary, a-Irresolute-Topological Vector Spaces, to appear in

Hacettepe Journal of Mathematics and Statistics.

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T. Al-Hawary, Generalized preopen sets, Questions Answers Gen. Topology 29 (2011), no. 1, 73-80.

T. Al-Hawary, Decompositions of continuity via E- open sets, Acta Universitatis aplulensis 34 (2013), 137-142.

T. Al-Hawary, p-closed sets, Acta Universitatis aplulensis 35 (2013), 29-36.

T. Al-Hawary, E-open sets, Acta Scientiarum-Technology 35 (2013), no. 1, 111-115.

T. Al-Hawary and A. Al-Nayef, Irresolute-topological vector spaces, Al-

Manarah J. 9 (2003), no. 2, 119-126.

T. Al-Hawary and A. Al-Omari, Between open and w-open sets, Comm.

Algebra 24 (2006), 67-77.

T. Al-Hawary and A. Al-Omari, Decompositions of continuity, Turkish J.

Math. 30 (2006), no. 20, 187-195.

T. Al-Hawary and A. Al-Omari, Generalized b-closed sets, Mutah Lil-Buhuth Wad-Dirasat 5 (2006), no. 1, 27-39.

A. Al-Nayef and T. Al-Hawary, On Irresolute-Topological Vector Spaces, Math. Sci. Res. Hot-Line 5 (2001), 49-53.

S. Crossley and S. Hildebrand, a-closure, Texas J. Sci. 22 (1971), 99-112.

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Ph. Jarchow, Locally convex spaces, B. G. Teubner Stuttgart, 1981, Frankfurt.

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J. Nath. 11 (1980), 9-14.

A. P. Robertson and W. Robertson, Topological vector spaces, Cambridge Univ. Press, 1973, Cambridge.

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Cómo citar

APA

Al-Hawary, T. (2017). On a-Topological Vector Spaces anda-irresolute gauges. Boletín de Matemáticas, 24(2), 149–154. https://revistas.unal.edu.co/index.php/bolma/article/view/70884

ACM

[1]
Al-Hawary, T. 2017. On a-Topological Vector Spaces anda-irresolute gauges. Boletín de Matemáticas. 24, 2 (jul. 2017), 149–154.

ACS

(1)
Al-Hawary, T. On a-Topological Vector Spaces anda-irresolute gauges. Bol. Matemáticas 2017, 24, 149-154.

ABNT

AL-HAWARY, T. On a-Topological Vector Spaces anda-irresolute gauges. Boletín de Matemáticas, [S. l.], v. 24, n. 2, p. 149–154, 2017. Disponível em: https://revistas.unal.edu.co/index.php/bolma/article/view/70884. Acesso em: 12 feb. 2026.

Chicago

Al-Hawary, Talal. 2017. «On a-Topological Vector Spaces anda-irresolute gauges». Boletín De Matemáticas 24 (2):149-54. https://revistas.unal.edu.co/index.php/bolma/article/view/70884.

Harvard

Al-Hawary, T. (2017) «On a-Topological Vector Spaces anda-irresolute gauges», Boletín de Matemáticas, 24(2), pp. 149–154. Disponible en: https://revistas.unal.edu.co/index.php/bolma/article/view/70884 (Accedido: 12 febrero 2026).

IEEE

[1]
T. Al-Hawary, «On a-Topological Vector Spaces anda-irresolute gauges», Bol. Matemáticas, vol. 24, n.º 2, pp. 149–154, jul. 2017.

MLA

Al-Hawary, T. «On a-Topological Vector Spaces anda-irresolute gauges». Boletín de Matemáticas, vol. 24, n.º 2, julio de 2017, pp. 149-54, https://revistas.unal.edu.co/index.php/bolma/article/view/70884.

Turabian

Al-Hawary, Talal. «On a-Topological Vector Spaces anda-irresolute gauges». Boletín de Matemáticas 24, no. 2 (julio 1, 2017): 149–154. Accedido febrero 12, 2026. https://revistas.unal.edu.co/index.php/bolma/article/view/70884.

Vancouver

1.
Al-Hawary T. On a-Topological Vector Spaces anda-irresolute gauges. Bol. Matemáticas [Internet]. 1 de julio de 2017 [citado 12 de febrero de 2026];24(2):149-54. Disponible en: https://revistas.unal.edu.co/index.php/bolma/article/view/70884

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