On noncommutative H\'older inequality of Sukochev and Zanin for weak Schatten class

Autor:	Huang, Yi C., Luo, Sijie
Rok vydání:	2024
Předmět:	Mathematics - Functional Analysis Primary 46L52. Secondary 46E30
Druh dokumentu:	Working Paper
Popis:	Sukochev and Zanin resolved an open problem due to B. Simon concerning optimal constants in H\"older inequality for the weak Schatten classes of compact operators. In this note we observe that these constants, by introducing the modified weak Schatten quasi-norms, can be renormalised so that the original Simon's conjecture (with optimal constant 1) does hold. We also provide an unexpectedly simple proof for the modified H\"older inequality and its sharpness.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2403.17990 Zobrazit plný text záznamu View this record from Arxiv