The Mackey-Arens and Hahn-Banach theorems for spaces over valued fields
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Jerzy Kąkol (1995)
Annales mathématiques Blaise Pascal
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De Grande-De Kimpe, N., Perez-Garcia, C. (1994)
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Pap, Endre (1996)
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Bosch, Carlos, Kučera, Jan, McKennon, Kelly (1986)
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Gilsdorf, Thomas E. (1989)
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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Alberto Arosio (1974)
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Kiyosawa, T., Schikhof, W.H. (1996)
International Journal of Mathematics and Mathematical Sciences
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M. Oudadess, A. Beddaa (1995)
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