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arXiv · 2307.03621

Ball separation characterization of ball dentability and related properties

Sudeshna Basu·Susmita Seal
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Abstract

In Euclidean spaces, every closed, bounded, convex set can be characterized by two equivalent notions of separation properties. This is not true in general for arbitrary Banach spaces. In this work, we present a ball separation characterization for spaces where the unit ball is dentable. We also explore related properties.

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Sudeshna Basu, Susmita Seal. 2023-07-07. Ball separation characterization of ball dentability and related properties. https://arxiv.org/abs/2307.03621

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