JUCS - Journal of Universal Computer Science 11(12): 1963-1969, doi: 10.3217/jucs-011-12-1963
On Firmness of the State Space and Positive Elements of a Banach Algebra
expand article infoRobin S. Havea‡
‡ Department of Mathematics and Computing Science, The University of the South Pacific, Fiji

Corresponding author: Robin Havea ( robin.havea@usp.ac.fj )

© Robin Havea.
This article is freely available under the J.UCS Open Content License.
Citation: Havea RS (2005) On Firmness of the State Space and Positive Elements of a Banach Algebra. JUCS - Journal of Universal Computer Science 11(12): 1963-1969. https://doi.org/10.3217/jucs-011-12-1963
Open Access
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, constructive mathematics, state space, Hermitian elements, positive elements