On firmness of the state space and positive elements of a Banach algebra. (English) Zbl 1120.46027
Summary: This paper is an investigation of positive elements in a Banach algebra. Under the firmness of the state space of a Banach algebra, it is shown that even powers of positive Hermitian elements are in fact positive.
MSC:
46H05 | General theory of topological algebras |
03F60 | Constructive and recursive analysis |
46S30 | Constructive functional analysis |