Integral representation of multiplicative, involution preserving operators in 𝔏(ℭ₀(𝔖,𝔄),𝔅)

Choy, Stephen T. L.

doi:10.1090/S0002-9939-1981-0619980-2

Integral representation of multiplicative, involution preserving operators in $\mathfrak {L}(C_{0}(S, A), B)$
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Proc. Amer. Math. Soc. 83 (1981), 54-58 Request permission

Abstract:

Bounded linear operators from the space of continuous vector-valued functions which preserve multiplication and involution are characterized in terms of their representing measures. A key role is played by the Arens product in the second dual of a Banach algebra.

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Integral representations of certain linear operators

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