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Просмотр по теме "Projection"

Просмотр по теме "Projection"

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  • A Linear Separability Criterion for Sets of Euclidean Space 
    Gabidullina Z. (2013)
    We prove new theorems which describe a necessary and sufficient condition for linear (strong and non-strong) separability and inseparability of the sets in a finite-dimensional Euclidean space. We propose a universal measure ...
  • Any Regular Measure on Conjugation Logic is a Complex Measure 
    Matvejchuk M. (2012)
    Let H be the complex Hilbert space with conjugation J. Denote by B(H)co the quantum logic of all J-projections on H. A non-zero function μ({dot operator}):=tr(A({dot operator})) on B(H)co is said to be a regular measure. ...
  • Commutation of Projections and Characterization of Traces on von Neumann Algebras. III 
    Bikchentaev A. (2015)
    © 2015, Springer Science+Business Media New York. We obtain new necessary and sufficient commutation conditions for nonnegative operators and projections in terms of operator inequalities. It is shown that in the general ...
  • 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.
  • Idempotents in a space with conjugation 
    Matvejchuk M. (2013)
    Let H be a complex Hilbert space with conjugation operator J. We study J-real operators and we have covered J-regular subspaces. We prove that for given bounded idempotent p there exists a conjugation operator J0 such that ...
  • 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.
  • Probability measure on conjugation logics 
    Matvejchuk M. (2014)
    © 2014, Springer Basel. In the paper we describe probability measures on the conjugation logics of projections and on the logic of all projections.
  • Quantum Logics of Idempotents of Unital Rings 
    Bikchentaev A.; Navara M.; Yakushev R. (2015)
    © 2014, Springer Science+Business Media New York. We introduce some new examples of quantum logics of idempotents in a ring. We continue the study of symmetric logics, i.e., collections of subsets generalizing Boolean ...
  • Some remarks on measures on orthogonal rational projections and the rational sphere 
    Mushtari D. (2001)
    We examine measures on the quantum logic of all projections with rational n x n-matrices and on its sublogic generated by all projections onto one-dimensional subspaces in ℚn passing through elements of the unit sphere in ℚn.
  • Studies on Noncommutative Measure Theory in Kazan University (1968–2018) 
    Bikchentaev A.; Sherstnev A. (2019)
    © 2019, Springer Science+Business Media, LLC, part of Springer Nature. We describe the main results of the participants of the scientific seminar “Operator algebras and their applications” at the Kazan University for the ...
  • 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 ...
  • МЕТОД ОТЫСКАНИЯ ПРОЕКЦИИ ТОЧКИ, ОСНОВАННЫЙ НА ПРОЦЕДУРАХ ОТСЕЧЕНИЙ 
    Заботин Игорь Ярославич; Шульгина Оксана Николаевна; Яруллин Рашид Саматович (2014)
    Предлагается метод отыскания проекции точки на выпуклое множество. Приближения в методе строятся с помощью конечных процедур проектирования точки на вспомогательные многогранные множества, содержащие решение исходной задачи. ...

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