The natural ordering on a strictly real Banach algebra

DOI10.1017/S0305004100068808zbMath0724.46042MaRDI QIDQ3211822

John Boris Miller

Publication date: 1990

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

convex conepreordersemisimpleprincipal componentmaximal groupspectral radius functionpartially ordered algebraevery element has real spectrumstrictly real unital Banach algebra

Mathematics Subject Classification ID

General theory of topological algebras (46H05) Ordered rings, algebras, modules (06F25) Ordered topological linear spaces, vector lattices (46A40)

Related Items

Conjugations on Banach algebras ⋮ Some characterizations of Hermitian Banach algebras ⋮ On a natural ordering in strictly real Banach algebras ⋮ Strictly real Banach algebras

Cites Work

• Real Banach algebras
• Normed algebras
• The Positive Cone in Banach Algebras
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