Proper uniform algebras are flat

R. C. Smith

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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 $C_{ℍ} (X)$ 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 $E$ .