On a characterization of the maximal ideal spaces of algebraically closed commutative $C^{\ast }$-algebras

DOI10.1090/S0002-9939-02-06835-1zbMath1045.46030MaRDI QIDQ4806437

Kazuki Niijima, Takeshi Miura

Publication date: 14 May 2003

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

zbMATH Keywords

commutative Banach algebrasalgebraically closedmaximal ideal spaces

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Fairly general properties of topological spaces (54D99)

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On the existence of continuous (approximate) roots of algebraic equations ⋮ On a characterization of compact Hausdorff space \(X\) for which certain algebraic equations are solvable in \(C(X)\) ⋮ OnC^*-algebras with the approximaten-th root property ⋮ Higher dimensional compacta with algebraically closed function algebras ⋮ On the root closedness of continuous function algebras ⋮ Extensions of endomorphisms of $C(X)$ ⋮ Root closed function algebras on compacta of large dimension

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