On the Lp Space of Observables on Product MV Algebras |
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| Authors: | Beloslav Riečan |
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| Affiliation: | (1) Mathematical Institute, Slovak Academy of Sciences, SK-814 73 Bratislava, Slovakia;(2) Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, SK-974 01 Banská Bystrica, Slovakia |
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| Abstract: | A weakly  -distributive product MV algebra M is considered as a base of aquantum structure model. A state is a morphism from M to the unit interval, andan observable is a morphism from the system of all Borel sets to M. It is provedthat the subspace Lp of the space of observables is a complete pseudometricspace. This result generalizes the previous result; the proof is new. |
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