On the algebraic structure of quantum mechanics
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Publication:2531907
DOI10.1007/BF01646019zbMath0171.46804OpenAlexW2118196574MaRDI QIDQ2531907
Publication date: 1967
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01646019
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundedness and continuity of linear functionals
- On Segal's postulates for general quantum mechanics
- On an algebraic generalization of the quantum mechanical formalism
- Positivitätsbereiche und Jordan-Strukturen
- Type I \(C^ *\)-algebras
- Eine Charakterisierung der Jordan-Algebren
- Semimodularity and the logic of quantum mechanics
- The logic of quantum mechanics
- A structure theory for Jordan algebras
- Postulates for general quantum mechanics
- Configuration Space Methods in Relativistic Quantum Field Theory. I
- Positivitatsbereiche Im R n
- Probability in physics and a theorem on simultaneous observability
- Principle of General Q Covariance
- On real Jordan algebras
- An Algebraic Approach to Quantum Field Theory
- Von Neumann Algebras of Local Observables for Free Scalar Field
- On semigroups in analysis and geometry
- On the Homeomorphic Affine Embedding of a Locally Compact Cone into a Banach Dual Space Endowed with the Vague Topology
- The Intrinsic Parity of Elementary Particles
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