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- W2392341470 abstract "This paper shows that, on a complete random normed module, there exists a nonzero continuous linear functional if and only if there is at least one atom in its base space; and there exist suffciently many nonzero continuous linear functionals if and only if its base is essentially generated by at most an countable family of atoms. The results show that the theory of classical conjugate spaces is universally invalid for random normed modules, and furthermore, expose the fundamental importance of the theory of random conjugate spaces in the development of random normed modules. At the same time, this paper also contains many results which make them very clear that characterizations for lots of classical quasinormed spaces generated by random normed modules to admit one or suffciently many nonzero continuous linear functionals." @default.
- W2392341470 created "2016-06-24" @default.
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- W2392341470 date "2008-01-01" @default.
- W2392341470 modified "2023-09-24" @default.
- W2392341470 title "Existence of Nonzero Continuous Linear Functionals on Complete Random Normed Modules" @default.
- W2392341470 hasPublicationYear "2008" @default.
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