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Continuity and discontinuity of seminorms on infinite-dimensional vector spaces

Jacek Chmieliński,Moshe Goldberg

Linear Algebra and its Applications（2019）

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Abstract
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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Key words
Infinite-dimensional vector spaces,Norms,Seminorms,Norm-topologies,Continuity
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