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  • Není k dispozici (cs)
  • The famous Gleason's Theorem gives a characterization of measures on lattices of subspaces of Hilbert spaces. The attempts to simplify its proof lead to geometrical lemmas that possess also easy proofs of some consequences of Gleason's Theorem. We contribute to these results by solving two open problems formulated by Chevalier, Dvurečenskij and Svozil. Besides, our use of orthoideals provides a unified approach to finite and infinite measures.
  • The famous Gleason's Theorem gives a characterization of measures on lattices of subspaces of Hilbert spaces. The attempts to simplify its proof lead to geometrical lemmas that possess also easy proofs of some consequences of Gleason's Theorem. We contribute to these results by solving two open problems formulated by Chevalier, Dvurečenskij and Svozil. Besides, our use of orthoideals provides a unified approach to finite and infinite measures. (en)
Title
  • Není k dispozici (cs)
  • Piron's and Bell's geometrical lemmas
  • Piron's and Bell's geometrical lemmas (en)
skos:prefLabel
  • Není k dispozici (cs)
  • Piron's and Bell's geometrical lemmas
  • Piron's and Bell's geometrical lemmas (en)
skos:notation
  • RIV/68407700:21230/04:03103443!RIV/2005/GA0/212305/N
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  • 1587 ; 1594
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  • P(GA201/00/0331)
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  • 7
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  • 579599
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  • RIV/68407700:21230/04:03103443
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  • Bell inequalities; Bell's Geometrical Lemma; Weak Piron's Geometrical Lemma; Gleason's Theorem; Hilbert space (en)
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  • US - Spojené státy americké
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  • [AEF304954120]
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  • International Journal of Theoretical Physics
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  • 43
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  • Navara, Mirko
issn
  • 0020-7748
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  • 21230
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