scientific article; zbMATH DE number 222887

zbMath0789.46050MaRDI QIDQ5285801

Jan Hamhalter

Publication date: 29 June 1993

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1993__58_2_173_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

continuum hypothesisGleason theoremtwo-valued statesJauch-Piron statevector statetype \(I\) factor direct summandvon Neumann algebra with a projection lattice

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Quantum measurement theory, state operations, state preparations (81P15) States of selfadjoint operator algebras (46L30)

Related Items (9)

States on projection logics of von Neumann algebras ⋮ Quantum measurable cardinals ⋮ Extension properties of states on operator algebras ⋮ A state-dependent noncontextuality inequality in algebraic quantum theory ⋮ Traces, dispersions of states and hidden variables ⋮ States on operator algebras and axiomatic system of quantum theory ⋮ Interpretations of quantum mechanics in terms of beable algebras ⋮ Countably Additive Homomorphisms between von Neumann Algebras ⋮ Kochen-Specker theorem for von Neumann algebras

Cites Work

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• Orthomodular structures as quantum logics. Transl. from the Slovak
• Set theory. An introduction to large cardinals
• The theorem of Gleason for non-separable Hilbert spaces
• Measures on projections and physical states
• Structure of commutators of operators
• Measures on Projections in W*-algebras of Type II₁
• Finitely Additive Measures on Projections in Finite W^* -Algebras
• QUANTUM LOGICS WITH JAUCH–PIRON STATES
• Jauch–Piron states in W*-algebraic quantum mechanics
• Jauch–Piron states
• PROBABILITY MEASURES ON PROJECTIONS IN VON NEUMANN ALGEBRAS

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