One-to-one operators on function spaces

Choy, Stephen T. L.

doi:10.1090/S0002-9939-1983-0687643-5

One-to-one operators on function spaces
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by Stephen T. L. Choy PDF

Proc. Amer. Math. Soc. 87 (1983), 691-694 Request permission

Abstract:

For a Banach algebra $A$ one-to-one operators with closed range on ${C_0}(S,A)$ are characterized in terms of the associated vector measures given by the Riesz Representation Theorems. Multiplicatively symmetric operators are also studied.

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