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Extreme Points of Positive Functionals and Spectral States on Real Banach Algebras
Published online by Cambridge University Press: 20 November 2018
Abstract
Extreme points of positive functionals and spectral states on real commutative Banach algebras are investigated and characterized as multiplicative functionals extending the well-known results from complex to real Banach algebras. As an application a new and short proof of the existence of the Shilov boundary of a real commutative Banach algebra with nonempty maximal ideal space is given.
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- Copyright © Canadian Mathematical Society 1992