Counter Examples in Non-Archimedean Locally Convex Spaces

In this paper, we shall consider some counter examples in non-archimedean locally convex spaces with special closed subspaces and Schauder basis in non-archimedean Fréchet spaces as well as closed subspaces \emph{without} Schauder basis in non-archimedean Fréchet spaces.

Publication Details

Journal
ArXiv.org
Published
2025-09-24
Primary Topic
Advanced Banach Space Theory
Type
article
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article

Counter Examples in Non-Archimedean Locally Convex Spaces

ArXiv.org
Advanced Banach Space Theory
article

Counter Examples in Non-Archimedean Locally Convex Spaces

article en

Abstract

In this paper, we shall consider some counter examples in non-archimedean locally convex spaces with special closed subspaces and Schauder basis in non-archimedean Fréchet spaces as well as closed subspaces \emph{without} Schauder basis in non-archimedean Fréchet spaces.

ArXiv.org
Openalex Percentile: Top 41%
Advanced Banach Space Theory
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Counter Examples in Non-Archimedean Locally Convex Spaces · ArXiv.org (2025) | TGRS Research Map | TGRS