Convex inequalities in Hilbert C^*-modules

2025/02/28 by Wu, Kangjian, Li, Jia, Xu, Qingxiang
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2502.20768

Abstract

The H\rm older-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\rm older-McCarty inequalities in the Hilbert C^*-module case.

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