The non-Archimedean Nirgendsnegativsemidefinitheitsstellensatz is not true

Autor:	Liang, Hao, Yan, Sizhuo, Yang, Jianting, Zhi, Lihong
Rok vydání:	2023
Předmět:	Mathematics - Operator Algebras
Druh dokumentu:	Working Paper
Popis:	Klep and Schweighofer asked whether the Nirgendsnegativsemide-finitheitsstellensatz holds for a symmetric noncommutative polynomial whose evaluations at bounded self-adjoint operators on any nontrivial Hilbert space are not negative semidefinite. We provide an example to show the open problem has a negative answer.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.05790 Zobrazit plný text záznamu View this record from Arxiv