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Displaying similar documents to “Proper uniform algebras are flat”

Noncommutative uniform algebras

Mati Abel, Krzysztof Jarosz (2004)

Studia Mathematica

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We show that a real Banach algebra A such that ||a²|| = ||a||² for a ∈ A is a subalgebra of the algebra C ( X ) of continuous quaternion-valued functions on a compact set X.

Pervasive algebras on planar compacts

Jan Čerych (1999)

Commentationes Mathematicae Universitatis Carolinae

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We characterize compact sets X in the Riemann sphere 𝕊 not separating 𝕊 for which the algebra A ( X ) of all functions continuous on 𝕊 and holomorphic on 𝕊 X , restricted to the set X , is pervasive on X .

A characterization of essential sets of function algebras

Jan Čerych (2004)

Archivum Mathematicum

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In the present note, we characterize the essential set E of a function algebra A defined on a compact Hausdorff space X in terms of local properties of functions in A at the points off E .