Automatic continuity for vector spaces with linear topology

Fuente: arXiv
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Autori principali: Quirino, Samuel, de Souza, Lucas H. R.
Natura: Preprint
Pubblicazione: 2026
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author Quirino, Samuel
de Souza, Lucas H. R.
author_facet Quirino, Samuel
de Souza, Lucas H. R.
contents In this paper we classify all topological vector spaces with linear topology with the property that all algebraic automorphisms are continuous. Moreover, we prove some properties of these spaces.
format Preprint
id arxiv_https___arxiv_org_abs_2602_23617
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Automatic continuity for vector spaces with linear topology
Quirino, Samuel
de Souza, Lucas H. R.
General Topology
Rings and Algebras
Primary: 54F65, 46A19, Secondary: 46H40, 54A10, 54A25
In this paper we classify all topological vector spaces with linear topology with the property that all algebraic automorphisms are continuous. Moreover, we prove some properties of these spaces.
title Automatic continuity for vector spaces with linear topology
topic General Topology
Rings and Algebras
Primary: 54F65, 46A19, Secondary: 46H40, 54A10, 54A25
url https://arxiv.org/abs/2602.23617