VITALI-HAHN-SAKS THEOREM FOR VECTOR MEASURES ON OPERATOR ALGEBRAS |
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| Authors: | Chetcuti, Emmanuel Hamhalter, Jan |
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| Affiliation: | 1 Department of Mathematics, Junior College, University of Malta
2 Department of Mathematics, Faculty of Engineering, Technicka 2, Prague 6, 16627, Czech Republic |
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| Abstract: | We show that the direct generalization of the VitaliHahnSakstheorem is not valid for all measures on von Neumann algebras.By applying a general equicontinuity argument, we prove a directextension of the VitaliHahnSaks theorem for awide range of vector measures on von Neumann algebra s and JBWalgebras. We also characterize relatively compact sets of vectormeasures on operator algebras. |
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