Automatic boundedness of quantum measures |
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| Authors: | Paolo De Lucia J D Maitland Wright |
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| Institution: | (1) Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli “Federico II” Complesso Universitario Monte S. Angelo Via Cintia, I-80126 Napoli, Italy;(2) Analysis and Combinatorics Research Centre Mathematics Department, University of Reading, RG6 6AX Reading, England |
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| Abstract: | LetG be a commutative Hausdorff topological group. Letm be aG-valued, completely additive measure on a complete orthomodular posetL. It is shown, among other results, that when the centre ofL is non-atomic thenm must be strictly bounded. WhenL is specialised to being the lattice of projections in a von Neumann algebra this extends some results known for real valued
measures.
The first author was partially supported by GNAFA and by the project Analisi Real of MURST. |
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