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Measures on empirical logics and the properties of their associated dual Banach spaces

Yewande Olubummo, University of Massachusetts Amherst

Abstract

We show that various spaces of weights defined on a quasimanual are dual Banach spaces and we construct their preduals. We investigate what it means for these spaces of weights to have the Jordan-Hahn property. Lastly, we examine when a finitely-additive state can be decomposed into the sum of a countably-additive state and a purely finitely-additive state.

Subject Area

Mathematics

Recommended Citation

Olubummo, Yewande, "Measures on empirical logics and the properties of their associated dual Banach spaces" (1991). Doctoral Dissertations Available from Proquest. AAI9132893.
https://scholarworks.umass.edu/dissertations/AAI9132893

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