Lattice-valued Borel measures. II

Khurana, Surjit Singh

doi:10.1090/S0002-9947-1978-0460590-2

Lattice-valued Borel measures. II
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by Surjit Singh Khurana PDF

Trans. Amer. Math. Soc. 235 (1978), 205-211 Request permission

Abstract:

Let T be a completely regular Hausdorff space, ${C_b}(T)$ the set of all bounded real-valued continuous functions on T, E a boundedly monotone complete ordered vector space, and $\varphi :{C_b}(T) \to E$ a positive linear map. It is proved that under certain conditions there exist $\sigma$-additive, $\tau$-smooth or tight E-valued measures on T which represent $\varphi$.

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