
The set of norm semi-exposed faces of the unit ball \(V_ 1\) in a GM- space is identified in the case in which V satisfies a certain filtering condition and \(V^*\), the dual of V, satisfies the Alfsen-Shultz condition. The class of partially ordered Banach spaces to which the result applies includes all strongly spectral GM-spaces and therefore all JB-algebras.
partially ordered Banach spaces, Jordan structures on Banach spaces and algebras, Nonassociative topological algebras, Convex sets in topological linear spaces; Choquet theory, Topological algebras, normed rings and algebras, Banach algebras, Alfsen-Shultz condition, JB-algebras, Article, 510.mathematics, Geometry and structure of normed linear spaces, JB- algebras, projective faces, strongly spectral GM-spaces, GL-space, norm semi-exposed faces of the unit ball, norm semi-exposed faces
partially ordered Banach spaces, Jordan structures on Banach spaces and algebras, Nonassociative topological algebras, Convex sets in topological linear spaces; Choquet theory, Topological algebras, normed rings and algebras, Banach algebras, Alfsen-Shultz condition, JB-algebras, Article, 510.mathematics, Geometry and structure of normed linear spaces, JB- algebras, projective faces, strongly spectral GM-spaces, GL-space, norm semi-exposed faces of the unit ball, norm semi-exposed faces
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