Construction and properties of quasi-linear functionals

Johansen, Ørjan; Rustad, Alf

doi:10.1090/S0002-9947-06-03843-8

Construction and properties of quasi-linear functionals
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by Ørjan Johansen and Alf B. Rustad PDF

Trans. Amer. Math. Soc. 358 (2006), 2735-2758 Request permission

Abstract:

Quasi-linear functionals are shown to be uniformly continuous and decomposable into a difference of two quasi-integrals. A predual space for the quasi-linear functionals inducing the weak*-topology is given. General constructions of quasi-linear functionals by solid set-functions and q-functions are given.

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