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arXiv · 2109.11884

Approximate smoothness in normed linear spaces

Jacek Chmieliński·Divya Khurana·Debmalya Sain
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Abstract

We introduce the notion of approximate smoothness in a normed linear space. We characterize this property and show the connections between smoothness and approximate smoothness for some spaces. As an application, we consider in particular the Birkhoff-James orthogonality and its right-additivity under the assumption of approximate smoothness.

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Jacek Chmieliński, Divya Khurana, Debmalya Sain. 2021-09-24. Approximate smoothness in normed linear spaces. https://arxiv.org/abs/2109.11884

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