Measures on classes of subspaces affiliated with a von Neumann algebra

DOI10.1007/s10773-009-0102-2zbMath1186.81069OpenAlexW2073730092MaRDI QIDQ849095

Ekaterina Turilova

Publication date: 24 February 2010

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-009-0102-2

zbMATH Keywords

von Neumann algebrainner product spacemeasures on classes of subspacesorthoclosed and splitting subspaces

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General theory of von Neumann algebras (46L10) Vector-valued measures and integration (46G10) Operator algebra methods applied to problems in quantum theory (81R15) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items

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) ⋮ Properties of topological measures on classes of subspaces of an inner product space

Cites Work

• A signed measure completeness criterion
• The Radon-Nikodym theorem for von Neumann algebras
• A Completeness Criterion for Inner Product Spaces
• Unnamed Item