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  • The generalized effect algebra was presented as a generalization of effect algebra for an algebraic description of the structure of the set of all positive linear operators densely defined on Hilbert space with the usual sum of operators. A structure of the set of not only positive linear operators can be described with the notion of weakly ordered partial commutative group (wop-group). With a restriction of the usual sum, the important subset of all self-adjoint operators forms a substructure of the set of all linear operators. We investigate the properties of intervals in wop-groups of linear operators and showing that they can be organised into effect algebras with nonempty set of states.
  • The generalized effect algebra was presented as a generalization of effect algebra for an algebraic description of the structure of the set of all positive linear operators densely defined on Hilbert space with the usual sum of operators. A structure of the set of not only positive linear operators can be described with the notion of weakly ordered partial commutative group (wop-group). With a restriction of the usual sum, the important subset of all self-adjoint operators forms a substructure of the set of all linear operators. We investigate the properties of intervals in wop-groups of linear operators and showing that they can be organised into effect algebras with nonempty set of states. (en)
Title
  • Intervals on weakly ordered partial commutative groups of linear operators
  • Intervals on weakly ordered partial commutative groups of linear operators (en)
skos:prefLabel
  • Intervals on weakly ordered partial commutative groups of linear operators
  • Intervals on weakly ordered partial commutative groups of linear operators (en)
skos:notation
  • RIV/00216224:14310/12:00067542!RIV14-MSM-14310___
http://linked.open...avai/riv/aktivita
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  • P(EE2.3.20.0051), S, Z(MSM0021622409)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 142712
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  • RIV/00216224:14310/12:00067542
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  • (generalized) effect algebra; weakly ordered partial group; Hilbert space; unbounded linear operator; states; interval effect algebra (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [5EAC68427B25]
http://linked.open...v/mistoKonaniAkce
  • Xian, China
http://linked.open...i/riv/mistoVydani
  • Shaanxi Normal University, China
http://linked.open...i/riv/nazevZdroje
  • Quantitative Logic and Soft Computing: Proceedings of the QL&SC 2012, Xian, China 12-15 May 2012
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Janda, Jiří
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
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  • World Scientific Publishing Company, 2012
https://schema.org/isbn
  • 9814401528
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  • 14310
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