Convex inequalities in Hilbert $C^*$-modules

Fuente: arXiv
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Autori principali: Wu, Kangjian, Li, Jia, Xu, Qingxiang
Natura: Preprint
Pubblicazione: 2025
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author Wu, Kangjian
Li, Jia
Xu, Qingxiang
author_facet Wu, Kangjian
Li, Jia
Xu, Qingxiang
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_20768
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Convex inequalities in Hilbert $C^*$-modules
Wu, Kangjian
Li, Jia
Xu, Qingxiang
Functional Analysis
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.
title Convex inequalities in Hilbert $C^*$-modules
topic Functional Analysis
url https://arxiv.org/abs/2502.20768