Extreme Points of Positive Functionals and Spectral States on Real Banach Algebras
Canadian journal of mathematics, Tome 44 (1992) no. 4, pp. 856-866

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CJM-1992-051-9
Mots-clés : Primary: 46J05, 46J20, Real Banach algebra, positive functionals, maximal ideals, Shilov boundary
Srivastav, Anand. Extreme Points of Positive Functionals and Spectral States on Real Banach Algebras. Canadian journal of mathematics, Tome 44 (1992) no. 4, pp. 856-866. doi: 10.4153/CJM-1992-051-9
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