Remarks on the order for quantum observables

DOI10.2478/s12175-007-0048-xzbMath1164.81001OpenAlexW1984660313MaRDI QIDQ5433526

Sylvia Pulmannová, Elena Vinceková

Publication date: 9 January 2008

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/34672

zbMATH Keywords

observableself-adjoint operatorgeneralized effect algebraRiesz ideal(weak) generalized orthomodular posetMackey compatibility

Mathematics Subject Classification ID

Partial orders, general (06A06) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (21)

Dimension theory for generalized effect algebras. ⋮ The logic order on a generalized Hermitian algebra ⋮ The supremum of linear operators for the *-order ⋮ Lattice operations on Rickart ∗-rings under the star order ⋮ Star order on operator and function algebras and its nonlinear preservers ⋮ Hull determination and type decomposition for a generalized effect algebra ⋮ Star partial order on \(\mathcal{B}_{Id}(\mathcal{H})\) ⋮ The exocenter of a generalized effect algebra ⋮ Quasi-orthomodular posets and weak BCK-algebras. ⋮ The center of a generalized effect algebra. ⋮ Star order on JBW algebras ⋮ Spectral order on a synaptic algebra ⋮ Spectral representation of infimum of bounded quantum observables ⋮ A note on the logic of bounded quantum observables ⋮ Further Remarks on an Order for Quantum Observables ⋮ Star order and topologies on von Neumann algebras ⋮ On supremum of bounded quantum observable ⋮ An explicit expression of supremum of bounded quantum observables ⋮ On the infimum of bounded quantum observables ⋮ A representation theorem of infimum of bounded quantum observables ⋮ On the supremum and infimum of bounded quantum observables

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Effect algebras and unsharp quantum logics.
• Some ideal lattices in partial abelian monoids and effect algebras
• Notes on \(R1\)-ideals in partial abelian monoids
• Quotients of partial abelian monoids
• Riesz ideals in generalized effect algebras and in their unitizations
• Algebraic Analysis of Many Valued Logics
• Natural structures on semigroups with involution
• Operational Quantum Physics
• The Selfadjoint Operators of a Von Neumann Algebra Form a Conditionally Complete Lattice
• Order Properties of Bounded Self-Adjoint Operators

This page was built for publication: Remarks on the order for quantum observables