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Construction and properties of quasi-linear functionals |
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| Authors: | Ø rjan Johansen Alf B Rustad |
| Institution: | Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway Alf B. Rustad ; Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway |
| 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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