Metrizability of the strong dual: equivalent topological characterizations

This short article presents several equivalent topological characterizations for the metrizability of the strong dual of a locally convex Hausdorff space. Among our key findings, we establish that the metrizability of the strong dual is precisely equivalent to it being a q-space.

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Publication Details

Journal
Extracta Mathematicae
Published
2025-12-17
DOI
https://doi.org/10.17398/2605-5686.40.2.173
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Metrizability of the strong dual: equivalent topological characterizations

S. Kundu, Varun Jindal
Extracta Mathematicae
Advanced Banach Space Theory
article

Metrizability of the strong dual: equivalent topological characterizations

S. Kundu, Varun Jindal
article en

Abstract

This short article presents several equivalent topological characterizations for the metrizability of the strong dual of a locally convex Hausdorff space. Among our key findings, we establish that the metrizability of the strong dual is precisely equivalent to it being a q-space.

Extracta MathematicaeVol. 40(2)
Indian Institute of Technology Delhi (IN), Malaviya National Institute of Technology Jaipur (IN)
Openalex Percentile: Top 55%
Advanced Banach Space Theory
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