Ordered *-Algebras with an Order Unit

DOI10.1080/00927872.2013.865049zbMath1429.06029OpenAlexW1978284958MaRDI QIDQ5249929

Jukka Kauppi

Publication date: 13 May 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2013.865049

zbMATH Keywords

\(C^\ast\)-algebraordered algebraorder unitpure statemultiplicative functionalweighted function algebra

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Representations of topological algebras with involution (46K10) States of selfadjoint operator algebras (46L30) Ordered rings, algebras, modules (06F25) Representations of commutative topological algebras (46J25)

Cites Work

• Unnamed Item
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• Generalization of the B *-algebra (C ₀ (X ),∥ ∥_∞ )
• On dense ideals of C^*-algebras and generalizations of the Gelfand–Naimark Theorem
• Vector spaces with an order unit
• Extreme Positive Operators on Algebras of Functions.
• A representation theorem for certain partially ordered commutative rings

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