A characterisation of C*-algebras through positivity of functionals

Autor:	de Jeu, Marcel, Tomiyama, Jun
Rok vydání:	2012
Předmět:	Mathematics - Operator Algebras Mathematics - Functional Analysis 46K05 (Primary) 46H05 (Secondary)
Zdroj:	Ann. Funct. Anal. 4 (2013), 61-63
Druh dokumentu:	Working Paper
DOI:	10.15352/afa/1399899837
Popis:	We show that a unital involutive Banach algebra, with identity of norm one and continuous involution, is a C*-algebra, with the given involution and norm, if every continuous linear functional attaining its norm at the identity is positive. Comment: 3 pages. Some typos corrected. Final version, to appear in Ann. Funct. Anal
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1205.6830 Zobrazit plný text záznamu View this record from Arxiv