Browsing by Subject "Idempotent"

Sort by: Order: Results:

  • 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. ...
  • 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 ...
  • On Operators all of Which Powers have the same Trace 
    Bikchentaev A.; Ivanshin P. (2019)
    © 2019, Springer Science+Business Media, LLC, part of Springer Nature. We introduce the class K A,ϕ = { A∈ A: ϕ(A k ) = ϕ(A) for all k∈ ℕ} for a linear functional ϕ on an algebra A and consider the properties of this ...
  • On τ-essentially Invertibility of τ-measurable Operators 
    Bikchentaev A. (2019)
    © 2019, Springer Science+Business Media, LLC, part of Springer Nature. Let ℳ be a von Neumann algebra of operators on a Hilbert space and τ be a faithful normal semifinite trace on ℳ. Let I be the unit of the algebra ℳ. ...
  • 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 ...
  • Representation of tripotents and representations via tripotents 
    Bikchentaev A.; Yakushev R. (2011)
    Let A be an algebra. An element A∈A is called tripotent if A3=A. We study the questions: if both A and B are tripotents, then: Under what conditions are A+B and AB tripotent? Under what conditions do A and B commute? We ...
  • 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 ...
  • When is every matrix over a ring the sum of two tripotents? 
    Abyzov A.N.; Tapkin D.T. (2021)
    We study rings over which every matrix is the sum of two tripotents. In particular, we show that every square matrix over a field F is the sum of two tripotents if and only if F is a prime field with Char(F)≤5.

Search DSpace

Browse

My Account