A local approach to functionals on 𝐿^{∞}(𝜇,𝑋)

Díaz, Santiago

doi:10.1090/S0002-9939-99-05284-3

A local approach to functionals on $L^\infty (\mu ,X)$
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Proc. Amer. Math. Soc. 128 (2000), 101-109 Request permission

Abstract:

Let $(\Omega ,\Sigma ,\mu )$ be a probability space and $X$ a Banach space. We show that the dual of $L^{\infty }(\mu ,X)$ can be “locally” identified with $L^{1}(\mu ,X^{*}).$

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