On Firmness of the State Space and Positive Elements of a Banach Algebra

Robin S. Havea (Department of Mathematics and Computing Science, The University of the South Pacific, Fiji)

Abstract: 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.

Keywords: Banach algebra, Hermitian elements, constructive mathematics, positive elements, state space

Categories: F.1