Operator algebras with contractive approximate identities

Autor:	Blecher, David P., Read, Charles John
Rok vydání:	2010
Předmět:	Mathematics - Operator Algebras Mathematical Physics Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	We give several applications of a recent theorem of the second author, which solved a conjecture of the first author with Hay and Neal, concerning contractive approximate identities; and another of Hay from the theory of noncommutative peak sets, thereby putting the latter theory on a much firmer foundation. From this theorem it emerges there is a surprising amount of positivity present in any operator algebras with contractive approximate identity. We exploit this to generalize several results previously available only for $C^*$-algebras, and we give many other applications. Comment: Revision of 29 pages, some conjectures in paper solved
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1011.3797 Zobrazit plný text záznamu View this record from Arxiv