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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