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DOI: 10.23952/jnfa.2017.27
Received March 8, 2017; Accepted March 26, 2017; Published April 17, 2017
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.
How to Cite this Article:
Francisco Javier García-Pacheco, Enrique Naranjo-Guerra, A family of balanced and absorbing sets with empty interior, Journal of Nonlinear Functional Analysis, Vol. 2017 (2017), Article ID 27, pp. 1-10.