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)

Descargas

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.

T. Al-Hawary, e-closed set, To appear in Thai J. Mathematics.

T. Al-Hawary, w-generalized closed sets, Int. J. Appl. Math. 16 (2004), no. 3, 341-353.

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.

S. Crossley and S. Hildebrand, a-topological properties, Fund. Math. 71 (1972), 233-254.

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

G. Köthe, Topological vector spaces I, Berlin-Heidelberg-New York, 1969.

S. N. Maheshwari and S. S. Thakur, On a-irresolute mappings, Tamkang

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

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

N. Takashi, On a-continuous functions, Casopis pro pestování matematiky 109 (1984), no. 2, 118-126.

J. Horväth, Topological vector spaces and distributions, Addison and Wesley Publishing Comp., 1966, London.

Visitas a la página del resumen del artículo

340

Descargas

Los datos de descarga aún no están disponibles.

Cómo citar

Al-Hawary, T. (2017). Sobre a-espacios vectoriales topológicos y a-calibres irresolutos. Boletín De Matemáticas, 24(2), 149-154. https://revistas.unal.edu.co/index.php/bolma/article/view/70884

Licencia

Derechos de autor 2017 Boletín de Matemáticas

Creative Commons License

Esta obra está bajo una licencia internacional Creative Commons Atribución 4.0.