When does a projective system of state operators have a projective limit?

DOI10.1063/1.524300zbMath0475.46049OpenAlexW2011775761MaRDI QIDQ3931912

Wilhelm Ochs

Publication date: 1979

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.524300

zbMATH Keywords

projective limitspartial tracetrace normsstate operatorsincomplete tensor productsinfinite tensor products of Hilbert spacesKolmogorov's extension theorem of probability measures

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Inductive and projective limits in functional analysis (46M40) Tensor products in functional analysis (46M05) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (4)

Quantum probability and many worlds ⋮ Bibliography on quantum logics and related structures ⋮ The set of all projective limits of a projective system of state operators ⋮ Modalities and quantum mechanics

Cites Work

• The quantum probability calculus
• On the strong law of large numbers in quantum probability theory
• Inductive limit and infinite direct product of operator algebras
• Gleason measures on infinite tensor products of Hilbert spaces

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