Classes of subspaces affiliated with a von Neumann algebra.

zbMath1059.46508MaRDI QIDQ1613897

Anatoly N. Sherstnev, Ekaterina Turilova

Publication date: 3 September 2002

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

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Algebras of unbounded operators; partial algebras of operators (47L60) General theory of von Neumann algebras (46L10) Axiomatic quantum field theory; operator algebras (81T05) Applications of functional analysis in quantum physics (46N50)

Related Items (9)

Unnamed Item ⋮ Affiliated subspaces and infiniteness of von Neumann algebras ⋮ A criterion for topological sum existence in class of splitting subspaces of inner product spaces ⋮ Subspace structures in inner product spaces and von Neumann algebras ⋮ Classes of invariant subspaces for some operator algebras ⋮ Probability structures in subspace lattice approach to foundations of quantum theory ⋮ Studies on noncommutative measure theory in Kazan university (1968--2018) ⋮ Commutativity of projections and characterization of traces on von Neumann algebras ⋮ Commutativity of projectors and trace characterization on von Neumann algebras. I.

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