Displaying similar documents to “The Mackey-Arens and Hahn-Banach theorems for spaces over valued fields”

Non-archimedean G P -spaces.

De Grande-De Kimpe, N., Perez-Garcia, C. (1994)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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The non-archimedian space BC(X) with the strict topology.

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.

The Mackey-Arens theorem for non-locally convex spaces.

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.

p-adic Ascoli theorems.

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.

Limited spaces

N. De Grande-De Kimpe, C. Perez-Garcia (1995)

Annales mathématiques Blaise Pascal

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