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arXiv · 2502.20768

Convex inequalities in Hilbert $C^*$-modules

Kangjian Wu·Jia Li·Qingxiang Xu
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Abstract

The H$\ddot{{\rm o}}$lder-McCarty inequalities are originally derived in the Hilbert space case and have been generalized via a convex inequality. The main purpose of this paper is to extend this convex inequality to the Hilbert $C^*$-module case, and meanwhile to make some investigations on the H$\ddot{{\rm o}}$lder-McCarty inequalities in the Hilbert $C^*$-module case.

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Kangjian Wu, Jia Li, Qingxiang Xu. 2025-02-28. Convex inequalities in Hilbert $C^*$-modules. https://arxiv.org/abs/2502.20768

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