A note on Huijsmans-de Pagter problem in ordered Banach algebras

2018/03/29 by Drnovšek, Roman
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1803.10942

Abstract

We give an example of a positive element a in some ordered Banach algebra A such that its spectrum is equal to \1\ and it is not greater than or equal to the unit element of A.

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