Vector measure duality and tensor product representations of 𝐿_{𝑝}-spaces of vector measures

Pérez, E.

doi:10.1090/S0002-9939-04-07521-5

Vector measure duality and tensor product representations of $L_p$-spaces of vector measures
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by E. A. Sánchez Pérez PDF

Proc. Amer. Math. Soc. 132 (2004), 3319-3326 Request permission

Abstract:

Let $\lambda$ be a countably additive vector measure. In this paper we use the definition of vector measure duality to establish a tensor product representation theorem for the space of $p$-integrable functions with respect to $\lambda$. In particular, we identify this space with the dual of a certain space of operators under reasonable restrictions for the vector measure $\lambda$.

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