Representation theorems of linear operators on p-adic function spaces
DOI:
https://doi.org/10.4067/S0716-09172004000200003Keywords:
Banach spaces, F−valued linear operator, continuity, espacios de Banach, operador lineal F-valuado, continuidad.Abstract
Let X be a 0-dimensional Hausforff topological space, E, F nonarchimedean Banach spaces and Cb(X, E) the space of all continuous E-valued functions on X provided with two strict topologies. In this paper we show that every F-valued linear operator which is strictly continuous can be represented by a certain L(E, F )-valued measure defined on the ring of all clopen subsets of X.References
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[5] A. Katsaras; Strict topologies in non-archimedean Function Spaces. Internat. J. Math. & Math. Sci., Vol 1, pp. 23-33, (1984).
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Published
2017-05-22
How to Cite
[1]
J. Aguayo, E. Chandía, and J. Ojeda, “Representation theorems of linear operators on p-adic function spaces”, Proyecciones (Antofagasta, On line), vol. 23, no. 2, pp. 97-110, May 2017.
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