Continuity and Discontinuity of Seminorms on Infinite-Dimensional Vector Spaces
| Autor: | Jacek Chmieliński, Moshe Goldberg |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Numerical Analysis
Pure mathematics Algebra and Number Theory Space (mathematics) Functional Analysis (math.FA) Mathematics - Functional Analysis Discontinuity (geotechnical engineering) Complex vector FOS: Mathematics Discrete Mathematics and Combinatorics Geometry and Topology 15A03 47A30 54A10 54C05 Vector space Mathematics |
| Popis: | 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 $X$. 5 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|