An operator-coefficients free Poincar\'e inequality

Autor:	Ito, Hyuga
Rok vydání:	2023
Předmět:	Mathematics - Operator Algebras
Druh dokumentu:	Working Paper
Popis:	We prove the following operator-coefficients free Poincar\'{e} inequality: $$|f(X)-E[f(X)]|_{2}\leq2|X|_{2}\|\widehat{\partial}_{X:B}[f(X)]\|_{\pi}, \quad f(X) \in \mathrm{dom}(\widehat{\partial}_{X:B}),$$ where $\|\cdot\|_{\pi}$ is the projective tensor norm. Comment: 4 pages; any comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.08476 Zobrazit plný text záznamu View this record from Arxiv