A family of balanced and absorbing sets with empty interior

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URI: http://hdl.handle.net/10498/36501

DOI: 10.23952/JNFA.2017.27

ISSN: 2052-532X

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Author/s
García Pacheco, Francisco JavierAuthority UCA; Naranjo Guerra, EnriqueAuthority UCA
Date
2017
Department
Estadística e Investigación Operativa; Matemáticas
Source
Journal of Nonlinear Functional Analysis - 2017, Vol. 2017 pp. 1-10
Abstract
A balanced and absorbing subset with empty interior has already been explicitly constructed in every normed space of dimension strictly greater than 1 (see [4]). However this construction varies depending whether the normed space is separable or not. In this note, we provide a unique construction by means of a family of balanced and absorbing sets with empty interior in every normed space of dimension strictly greater than 1.
Subjects
Absorbing; Balanced; Convex; Empty interior; LCH
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional