Topología compacto-abierta en C (X, E)
DOI:
https://doi.org/10.22199/S07160917.1983.0006.00001Abstract
En nuestro trabajo (F , ||) representa un cuerpo con un valor absoluto. En cada oportunidad indicaremos si F es real, complejo u otro. X representa un espacio topológico completamente regular Hausdorff.E representa un espacio vectorial topológico sobre F localmente convexo. C(X,E) representa el espacio de funciones contínuas de X en E. Si E =
References
[1] Arens, R. A topology for spaces of transformations. Ann of Math,47 (1946) 1 480- 495.
[2] Bourbaki N., Ann. Inst. Fourier, 2 (1951) 5-16.
[3] Gillman, L.- Henriksen, Trans. Am. Math. Soc., 77 (1954) 340-362
[4] Hollstein, R. Permanence properties of C(X,E) (to appear).
[5] Mackey, G. Trans. Am. Math. Soc., 60, (1946), 519- 537.
[6] Mendoza, J., Algunas propiedades de Cc(X,E) (por aparecer).
[7] Mujica, J., Spaces bf continuous functions with values in an inductive limit, Functional Analysis, Holomorphy and Approx. theory (G. Zapata Ed.) Marcel Dekker N.Y . (to appear).
[8] Nachbin, L., Topological vector spaces of continuous functions, Proc. Mat. A. Sci. u.s.A., 40, 1954, 471- 474.
[9] Schmet-s, J., Bornological and ultrabornological C(X,E) spaces, Manuscripta Math . , 21, (1977), 117 - 133.
[10] Schmets, J., An example of the barrelled spaces associated to e (X; E) (to appear).
[11] Warner, S., The topology of compact convergence on continuous function spaces, Duke Math. J. 25 (1958), 265-282.
[12] Weir, M., Hewwitt-Nachbin Spaces. Math. Studies -N° 17. North Holland. 1975.
[2] Bourbaki N., Ann. Inst. Fourier, 2 (1951) 5-16.
[3] Gillman, L.- Henriksen, Trans. Am. Math. Soc., 77 (1954) 340-362
[4] Hollstein, R. Permanence properties of C(X,E) (to appear).
[5] Mackey, G. Trans. Am. Math. Soc., 60, (1946), 519- 537.
[6] Mendoza, J., Algunas propiedades de Cc(X,E) (por aparecer).
[7] Mujica, J., Spaces bf continuous functions with values in an inductive limit, Functional Analysis, Holomorphy and Approx. theory (G. Zapata Ed.) Marcel Dekker N.Y . (to appear).
[8] Nachbin, L., Topological vector spaces of continuous functions, Proc. Mat. A. Sci. u.s.A., 40, 1954, 471- 474.
[9] Schmet-s, J., Bornological and ultrabornological C(X,E) spaces, Manuscripta Math . , 21, (1977), 117 - 133.
[10] Schmets, J., An example of the barrelled spaces associated to e (X; E) (to appear).
[11] Warner, S., The topology of compact convergence on continuous function spaces, Duke Math. J. 25 (1958), 265-282.
[12] Weir, M., Hewwitt-Nachbin Spaces. Math. Studies -N° 17. North Holland. 1975.
Published
2018-03-27
How to Cite
[1]
S. Navarro Hernández, “Topología compacto-abierta en C (X, E)”, Proyecciones (Antofagasta, On line), vol. 2, no. 6, pp. 3-10, Mar. 2018.
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