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On a theorem by I. Glicksberg

On a theorem by I. Glicksberg

If X is a compact space we denote by C(X) the Banach space of all continuous complex valued functions on X with respect to the norm llfll-supxGx If(x)I. Grothendieck [2, Theorem 5] has shown that a bounded subset of C(X) is compact in the weak topology if and only if …