Power series spaces of finite type and related nuclearities
M. Ramanujan, T. Terzioglu (1975)
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Displaying similar documents to “Some aspects of nuclear vector groups”
Power series spaces of finite type and related nuclearities
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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.
Geometry of nuclear spaces - I
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