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A non-commutative version of the first alexandroff decomposition theorem in ordered topological groups |
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| Authors: | Paolo de Lucia P. Morales |
| Affiliation: | 1. Dipartimento di Matematica e Applicazioni, Università Federico II Complesso Universitario Monte S. Angelo, I-80126, Napoli, Italy 2. Déparement de mathématiques et d’informatique, Université de Sherbrooke, J1K 2R1, Sherbrooke, Québec, Canada |
| Abstract: | In this paper we establish a decomposition theorem for a positive regular measure on an orthoalgebra with values in an ordered topological group not necessarily commutative. We deduce from it the A. D. Alexandroff’s classical first decomposition theorem and we discuss its uniqueness in the setting of metric spaces. |
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