On the weak-basis theorem
N. J. Kalton (1973)
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N. J. Kalton (1973)
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M. Arsove, R. Edwards (1960)
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V. Moscatelli (1974)
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L. Drewnowski (1979)
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A. Pełczyński (1969)
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J. Holub, J. Retherford (1970)
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J. Retherford (1964)
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E. Dubinsky, J. Retherford (1967)
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Bollettino dell'Unione Matematica Italiana
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We study polar locally convex spaces over a non-archimedean non-trivially valued complete field with a weak topological basis. We prove two completeness theorems and a Hahn-Banach type theorem for locally convex spaces with a weak Schauder basis.