The weak and strong convergence in metrizable spaces over valued fields.
Kakol, Jerzy (1994)
Portugaliae Mathematica
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Kakol, Jerzy (1994)
Portugaliae Mathematica
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Bosch, Carlos, Kučera, Jan, McKennon, Kelly (1986)
International Journal of Mathematics and Mathematical Sciences
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De Grande-De Kimpe, N., Perez-Garcia, C. (1994)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Nicole De Grande-De Kimpe, Samuel Navarro (1994)
Publicacions Matemàtiques
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Let X be a zero-dimensional, Hausdorff topological space and K a field with non-trivial, non-archimedean valuation under which it is complete. Then BC(X) is the vector space of the bounded continuous functions from X to K. We obtain necessary and sufficient conditions for BC(X), equipped with the strict topology, to be of countable type and to be nuclear in the non-archimedean sense.
Jerzy Kakol (1990)
Collectanea Mathematica
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Let R be a subcategory of the category of all topological vector spaces. Let E be an element of R. The problem of the existence of the finest R-topology on E with the same continuous linear functionals as the original one is discussed. Remarks concerning the Hahn-Banach Extension Property are included.
Alberto Arosio (1974)
Rendiconti del Seminario Matematico della Università di Padova
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Javier Martínez-Maurica, S. Navarro (1990)
Revista Matemática de la Universidad Complutense de Madrid
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The aim of this paper is the study of a certain class of compact-like sets within some spaces of continuous functions over non-Archimedean ground fields. As a result, some p-adic Ascoli theorems are obtained.
N. De Grande-De Kimpe, C. Perez-Garcia (1995)
Annales mathématiques Blaise Pascal
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J. Orihuela, S. Troyanski (2009)
RACSAM
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