Function representation of a noncommutative uniform algebra

DOI10.1090/S0002-9939-07-09033-8zbMath1136.46035OpenAlexW2053093991MaRDI QIDQ5431670

Krzysztof Jarosz

Publication date: 20 December 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-09033-8

zbMATH Keywords

Banach algebraquaternionsuniform algebrafunction algebra

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) General theory of topological algebras (46H05) Structure, classification of topological algebras (46H20)

Related Items (5)

Banach-Stone theorem for quaternion-valued continuous function spaces ⋮ Boundaries of weak peak points in noncommutative algebras of Lipschitz functions ⋮ On algebraic and uniqueness properties of harmonic quaternion fields on 3d manifolds ⋮ Generalized strong boundary points and boundaries of families of continuous functions ⋮ On algebras of harmonic quaternion fields in $\mathbb {R}^3$

Cites Work

• Ultraproducts and small bound perturbations
• Differentiable functions of quaternion variables.
• A Note on the Stone-Weierstrass Theorem for Quaternions
• Quaternionic analysis
• Ultraproducts in Banach space theory.
• Noncommutative uniform algebras
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