Continuity and Discontinuity of Seminorms on Infinite-Dimensional Vector Spaces
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🧮 math.FA
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continuitydiscontinuityinfinite-dimensionalvectorcertaincomplexnorm-topologiesnote
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Let $S$ be a seminorm on an infinite-dimensional real or complex vector space $X$. Our purpose in this note is to study the continuity and discontinuity properties of $S$ with respect to certain norm-topologies on $X$.
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