Every synaptic algebra has the monotone square root property

Autor:	Foulis, David J., Jencova, Anna, Pulmannova, Sylvia
Rok vydání:	2016
Předmět:	Mathematics - Operator Algebras 47B15 (81P10)
Druh dokumentu:	Working Paper
Popis:	A synaptic algebra is a common generalization of several ordered algebraic structures based on algebras of self-adjoint operators, including the self-adjoint part of an AW*-algebra. In this paper we prove that a synaptic algebra A has the monotone square property, i.e., if a and b are positive elements, then if a is less or equal than b, then the square root of a is less or equal than the square root of b.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1605.04115 Zobrazit plný text záznamu View this record from Arxiv