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arXiv · 2405.20097

Functional inequalities in the framework of Banach spaces

Constantin P. Niculescu
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Abstract

A quadrilateral inequality established by C. Sch\"otz in the context of Hilbert spaces is extended to the framework of Banach spaces. Our approach is based on the majorization theory and a substitute for the parallelogram law associated with Clarkson's notion of von Neumann-Jordan constant. As a by-product, several functional inequalities that extend classical inequalities from linear algebra and geometry of Banach spaces are also obtained.

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Constantin P. Niculescu. 2024-05-30. Functional inequalities in the framework of Banach spaces. https://arxiv.org/abs/2405.20097

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