The Mackey-Arens and Hahn-Banach theorems for spaces over valued fields
Jerzy Kąkol (1995)
Annales mathématiques Blaise Pascal
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Jerzy Kąkol (1995)
Annales mathématiques Blaise Pascal
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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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International Journal of Mathematics and Mathematical Sciences
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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.
O. Hadžić, Đ. Paunić (1977)
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Rendiconti del Seminario Matematico della Università di Padova
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