Browsing by Subject "Indefinite metric space"

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  • Idempotents and Krein space 
    Matvejchuk M. (2011)
    Let B(H)Id be the set of all bounded idempotents on a Hilbert space H. Fix p ∈ B(H)Id. The aim of the paper is to show a set of symmetries J on H for which p is a J-projection. © 2011 Pleiades Publishing, Ltd.
  • Idempotents as J-Projections 
    Matvejchuk M. (2011)
    Let B(H)Id be the set of all bounded idempotents on a Hilbert space H. Fix p∈B(H)Id. The aim of the paper is to show a set of symmetries J on H for which p is a J-projection. © 2011 Springer Science+Business Media, LLC.
  • Kochen-Specker Theorem in Krein Space 
    Matvejchuk M.; Utkina E. (2014)
    © 2014, Springer Science+Business Media New York. The well known Kochen-Specker’s theorem (Kochen and Specker J. Math. Mech. 17:59–87, 1967) is devoted to the problem of hidden variables in quantum mechanics. In the paper ...
  • Positive projections as generators of J-projections of type (B) 
    Matvejchuk M.; Ionova A. (2007)
    Let A be a von Neumann J-algebra of type (B) acting in an indefinite metric space. The aim of the paper is to study J-projections from A.
  • Semiconstant measures on hyperbolic logics 
    Matvejchuk M. (1997)
    We characterize the set of all semiconstant measures on the hyperbolic logics of projections in indefinite metric spaces and describe the set of all probability measures on these logics. ©1997 American Mathematical Society.
  • Two-Valued Probability Measure on the Pontryagin Space 
    Matvejchuk M.; Utkina E. (2015)
    © 2015, Springer Science+Business Media New York. The well known Kochen-Specker’s theorem is devoted to the problem of hidden variables in quantum mechanics. The Kochen-Specker theorem says: There is no two-valued probability ...
  • Vector measures on the logic of J-projections of a krein space 
    Matvejchuk M.; Ionova A. (2005)
    Let ℋ be a Hilbert space with an inner product (.,.)ℋ. In Jajte, R., and Paszkiewicz, A. (1978, Vector measure on the closed subspaces of a Hilbert space, Studia Mathematica 63, 229-251), the ℋ-measure on the logic of all ...

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