A Radon-Nikodym Theorem in Dimension Lattices

DOI10.2307/1993826zbMath0118.02501OpenAlexW4241486094MaRDI QIDQ5728480

Samuel S. jun. Holland

Publication date: 1963

Full work available at URL: https://doi.org/10.2307/1993826

zbMATH Keywords

ordered sets, lattices

Related Items

Sasaki projections ⋮ On Generating Distributive Sublattices of Orthomodular Lattices ⋮ Quantum probabilities as Dempster-Shafer probabilities in the lattice of subspaces ⋮ Orthomodular lattices as \(L\)-algebras ⋮ Decidability in orthomodular lattices ⋮ Unnamed Item ⋮ The paraunitary group of a von Neumann algebra ⋮ A distributivity property in an orthomodular lattice ⋮ Nearly Modular Orthocomplemented Lattices ⋮ Computer proof of monotonicity of operations on orthomodular lattices ⋮ Orthoposets of extreme points and quantum logics ⋮ Atomicity and causal completeness ⋮ Bibliography on quantum logics and related structures ⋮ Distributivity and Perspectivity in Orthomodular Lattices ⋮ Distributive Sublattices of a Lattice ⋮ Orthomodular lattices and quadratic spaces: A survey ⋮ New operations on orthomodular lattices: ``Disjunction and ``conjunction induced by Mackey decompositions ⋮ Von Neumann algebras, \(L\)-algebras, Baer*-monoids, and Garside groups ⋮ Orthomodular lattices admitting no states ⋮ Orthomodulare Verbände mit Regularitaetsbedingungen ⋮ Conditional probabilities on orthomodular lattices ⋮ Unnamed Item ⋮ Weaker forms of associativity in orthomodular lattices. ⋮ Quantum logic, state space geometry and operator algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A non-commutative extension of abstract integration
• The lattice theoretic background of the dimension theory of operator algebras
• Boundedness Properties in Function-Lattices