@InProceedings{Navara:AIP09,
  IS = { zkontrolovano 24 Feb 2011 },
  UPDATE  = { 2009-12-29 },
  author =      {Navara, Mirko},
  title =       {Mathematical questions related to non-existence of hidden variables},
  year =        {2009},
  pages =       {119-126},
  booktitle =   {Foundations of Probability and Physics - 5,},
  editor =      {L.~Accardi, G.~Adenier, C.~Fuchs, G.~Jaeger, A.Yu.~Khrennikov, 
                 J.-{\accent23 A}.~Larsson, S.~Stenholm (eds.)},
  publisher =   {American Institute of Physics},
  address =     {New York, USA},
  issn =        {0094-243X},
  isbn =        {978-0-7354-0636-0},
  series =      {AIP Conference Proceedings},
  number =      {1101},
  book_pages =  {400},
  annote = {The famous Gleason's Theorem gives a characterization of
    states on lattices of subspaces of Hilbert spaces. The attempts to
    simplify its proof have led to easy proofs of some consequences,
    mainly the non-existence of hidden variables (dispersion-free
    states). Here we simplify some of them. We also formulate related
    open problems concerning spaces with rational coordinates and
    group-valued measures.},
  keywords = {Gleason's Theorem, Bell inequalities, 
    Bell's Geometrical Lemma, Piron's Geometrical Lemma, Hilbert space; 
    hidden variable, dispersion-free state; two-valued state, 
    Kochen--Specker theorem, group-valued measure},
  edition =     {1},
  project =     {GACR 201/07/1051},
  psurl =       {PDF},
}