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• W1003359498 abstract "Every complete metric linear space is a K-space.A non-completenormed space can be a K-space.And non-metrizable K-spaces exist.A series ofbasic results on complete metric linear spaces Can be generalized to K-spaces.Forexample,every bounded linear operator from a K-space into a locally convex spaceis sequentially continuous;every bounded semi-norm on a K-space is sequentiallycontinuous and,therefore,piecewise separable;a.C-sequeatial K-space is both bar-relled and bornological;the family of sequentially continuous linear functionals ona K-space is weak sequentially complete." @default.
• W1003359498 created "2016-06-24" @default.
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• W1003359498 date "1992-01-01" @default.
• W1003359498 modified "2023-09-22" @default.
• W1003359498 title "BASIC PROPERTIES OF K-SPACES" @default.
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