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THE NATURAL ORDERING IN STRICTLY REAL m-CONVEX Q-ALGEBRAS

2020; Volume: 07; Issue: 01 Linguagem: Inglês

10.46753/pjaa.2020.v07i01.007

2349-6797

Hugo Arizmendi-Peimbert, Angel Carrillo-Hoyo, M. Oudadess, Pavel Ramos-Martínez,

Advanced Topics in Algebra

J. B. Miller considered orders in strictly real Banach algebras.The aim of this paper is to extend the basic results about the natural ordering to strictly real Hausdorff m-convex ones.In this frame, one is led to put the additional condition that they are Q-algebras, which is, anyway, satisfied in the Banach case.The results about the associated order are also valid in this framework but they are not included here.