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dc.contributor.authorGheondea, A.en_US
dc.contributor.authorGudder, S.en_US
dc.date.accessioned2016-02-08T11:54:18Z
dc.date.available2016-02-08T11:54:18Z
dc.date.issued2004en_US
dc.identifier.issn0002-9939
dc.identifier.urihttp://hdl.handle.net/11693/27469
dc.description.abstractUnsharp quantum measurements can be modelled by means of the class ℰ(ℋ) of positive contractions on a Hilbert space ℋ, in brief, quantum effects. For A, B ∈ ℰ(ℋ) the operation of sequential product AοB = A1/2 BA1/2 was proposed as a model for sequential quantum measurements. We continue these investigations on sequential product and answer positively the following question: the assumption AοB ≥ B implies AB = BA = B. Then we propose a geometric approach of quantum effects and their sequential product by means of contractively contained Hilbert spaces and operator ranges. This framework leads us naturally to consider lattice properties of quantum effects, sums and intersections, and to prove that the sequential product is left distributive with respect to the intersection.en_US
dc.language.isoEnglishen_US
dc.source.titleProceedings of the American Mathematical Societyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1090/S0002-9939-03-07063-1en_US
dc.titleSequential product of quantum effectsen_US
dc.typeArticleen_US
dc.departmentDepartment of Mathematics
dc.citation.spage503en_US
dc.citation.epage512en_US
dc.citation.volumeNumber132en_US
dc.citation.issueNumber2en_US
dc.identifier.doi10.1090/S0002-9939-03-07063-1en_US
dc.publisherAmerican Mathematical Societyen_US
dc.identifier.eissn1088-6826


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