A commutation theorem and duality for free Bose fields
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Publication:1213625
DOI10.1007/BF01608393zbMath0296.46069MaRDI QIDQ1213625
Publication date: 1974
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
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Cites Work
- Unnamed Item
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- Structure of the algebras of some free systems
- Fields, observables and gauge transformations. II
- Tomita's theory of modular Hilbert algebras and its applications
- An application of modular Hilbert algebras: Duality for free Bose fields
- Symmetric Hilbert spaces and related topics. Infinitely divisible positive definite functions, continuous products and tensor products, Gaussian and Poissonian stochastic processes
- On rings of operators
- The Commutation Theorem for Tensor Products of von Neumann Algebras
- A Lattice of Von Neumann Algebras Associated with the Quantum Theory of a Free Bose Field
- Von Neumann Algebras of Local Observables for Free Scalar Field
- On the Tensor Product of W * -Algebras
- Complete Boolean algebras of type I factors
- Two Subspaces
- Operants: A Functional Calculus for Non-Commuting Operators
- Normalcy in Von Neumann Algebras