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arXiv · 1904.09423

Continuity and Discontinuity of Seminorms on Infinite-Dimensional Vector Spaces

Jacek Chmieliński·Moshe Goldberg
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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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Jacek Chmieliński, Moshe Goldberg. 2019-04-20. Continuity and Discontinuity of Seminorms on Infinite-Dimensional Vector Spaces. https://arxiv.org/abs/1904.09423

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