Extreme Points of Positive Functionals and Spectral States on Real Banach Algebras
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Published:1992-08-01
Issue:4
Volume:44
Page:856-866
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ISSN:0008-414X
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Container-title:Canadian Journal of Mathematics
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language:en
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Short-container-title:Can. j. math.
Abstract
AbstractExtreme 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.
Publisher
Canadian Mathematical Society
Subject
General Mathematics