
In the paper under review the author (1) presents a unified approach to the study of \(n\)-tuple rational \(A\)- convex hulls and \(n\)-tuple \(A\)-convex hulls and (2) investigates the relationship between these hulls and vector-valued functions and multi-tuple Shilov boundaries of uniform algebras.
\(n\)-tuple \(A\)-convex hulls, Spaces of vector- and operator-valued functions, Banach algebras of continuous functions, function algebras, vector- valued functions, 46J20, 32E99, 46J10, \(n\)-tuple rational \(A\)-convex hulls, Ideals, maximal ideals, boundaries, multi-tuple Shilov boundaries of uniform algebras
\(n\)-tuple \(A\)-convex hulls, Spaces of vector- and operator-valued functions, Banach algebras of continuous functions, function algebras, vector- valued functions, 46J20, 32E99, 46J10, \(n\)-tuple rational \(A\)-convex hulls, Ideals, maximal ideals, boundaries, multi-tuple Shilov boundaries of uniform algebras
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