Non-archimedean nuclearity
Nicole de Grande-de Kimpe (1981-1982)
Groupe de travail d'analyse ultramétrique
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Displaying similar documents to “Vector measures and nuclearity”
Non-archimedean nuclearity
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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.
Lambda-nuclear spaces which are nuclear.
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