The free locally convex space L(\s) over a convergent sequence\n \s is not a Mackey space

2017/10/04 by Saak Gabriyelyan, Gabriyelyan, Saak
Mathematics · #46A03 #54A10 #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Mathematical and Theoretical Analysis

paper · pdf · doi:10.48550/arxiv.1710.01759

openalex publication_date 2017/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the free locally convex space L(\s) over a convergent\nsequence \s is not a Mackey space. Consequently L(\s) is\nnot a Mackey group that answers negatively a question posed in [4].\n

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