On essential sets of function algebras in terms of their orthogonal measures

Jan Čerych

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Displaying similar documents to “On essential sets of function algebras in terms of their orthogonal measures”

Function spaces have essential sets

Jan Čerych (1998)

Commentationes Mathematicae Universitatis Carolinae

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It is well known that any function algebra has an essential set. In this note we define an essential set for an arbitrary function space (not necessarily algebra) and prove that any function space has an essential set.

Properties of function algebras in terms of their orthogonal measures

Jan Čerych (1994)

Commentationes Mathematicae Universitatis Carolinae

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In the present note, we characterize the pervasive, analytic, integrity domain and the antisymmetric function algebras respectively, defined on a compact Hausdorff space $X$ , in terms of their orthogonal measures 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 $E$ .