Non-archimedean nuclearity
Nicole de Grande-de Kimpe (1981-1982)
Groupe de travail d'analyse ultramétrique
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Nicole de Grande-de Kimpe (1981-1982)
Groupe de travail d'analyse ultramétrique
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Philipp J. Boland (1977-1978)
Séminaire Paul Krée
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A.K. Katsaras (1995)
Annales mathématiques Blaise Pascal
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M. Ramanujan, T. Terzioglu (1975)
Studia Mathematica
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Robert Stegliński (2005)
Studia Mathematica
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It is proved that every real metrizable locally convex space which is not nuclear contains a closed additive subgroup K such that the quotient group G = (span K)/K admits a non-trivial continuous positive definite function, but no non-trivial continuous character. Consequently, G cannot satisfy any form of the Bochner theorem.
Andrés E. Hombría Maté (1986)
Extracta Mathematicae
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Seán Dineen (1982)
Studia Mathematica
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Philip J. Boland, Seán Dineen (1978)
Bulletin de la Société Mathématique de France
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