Unit-free versions of the Vidav-Palmer theorem and of the Blecher-Ruan-Sinclair non-associative characterization of unital $C^*$-algebras

Autor:	Palacios, Angel Rodriguez
Rok vydání:	2023
Předmět:	Mathematics - Operator Algebras Mathematics - Functional Analysis AMS Classification 2022: 46L05 46L70
Druh dokumentu:	Working Paper
Popis:	We prove unit-free versions of both the associative and the non-associative Vidav-Palmer theorems. Then these results are applied to prove a unit-free version of the Blecher-Ruan-Sinclair non-associative characterization of unital $C^*$-algebras. Comment: 32 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.06454 Zobrazit plný text záznamu View this record from Arxiv