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. ...

Let script M be a real semifinite W*-algebra of J-real operators containing no finite central summand in a complex Hilbert space H with conjugation J. Denote by P the quantum logic of all J-orthogonal projections in the ...

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.

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 ...

A probability measure on a nondecreasing net of lattices of orthogonal projections in von Neumann algebras is extended to a probability on the inductive limit of the lattices. © 1993 Plenum Publishing Corporation.

© 2014, Springer Basel. In the paper we describe probability measures on the conjugation logics of projections and on the logic of all projections.

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.

© 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 ...

An analog to the Vitali-Hahn-Saks theorem for indefinite measures on hyperbolic logics of projections in indefinite metric spaces is proved. © 1995 Plenum Publishing Corporation.