Decompositions of measures on orthoalgebras and difference posets View Full Text


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Article Info

DATE

1994-07

AUTHORS

Anatolij Dvurečenskij, Beloslav Riečan

ABSTRACT

We present a general decomposition theorem for elements of an ordered group with respect to a cone. This result enables us to obtain decompositions of finitely additive measures defined on quantum logics, orthoalgebras, or, more generally, on difference posets with values in Dedekind complete lattice ordered groups, with respect to a given cone of measures. In particular, we gain Yosida-Hewitt-type and Lebesgue-type decompositions. More... »

PAGES

1387-1402

References to SciGraph publications

  • 1988-04. Completeness of inner product spaces and quantum logic of splitting subspaces in LETTERS IN MATHEMATICAL PHYSICS
  • 1992-05. Filters and supports in orthoalgebras in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • 1993. Gleason’s Theorem and Its Applications in NONE
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf00670684

    DOI

    http://dx.doi.org/10.1007/bf00670684

    DIMENSIONS

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