Nest-subalgebras of von Neumann algebras

DOI10.1016/0001-8708(82)90022-6zbMath0523.46037OpenAlexW1972139258MaRDI QIDQ584685

David R. Larson, Frank L. Gilfeather

Publication date: 1982

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(82)90022-6

zbMATH Keywords

nest algebradirect integral decomposition theory for separately acting commutative subspace latticesinvariant subspace latticenest of projections

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Invariant subspaces of linear operators (47A15) Decomposition theory for (C^*)-algebras (46L45)

Related Items (21)

Jordan isomorphisms on nest subalgebras ⋮ Additive mappings derivable at non-trivial idempotents on Banach algebras ⋮ Local derivations of nest subalgebras of von Neumann algebras ⋮ The interpolation in CSL subalgebras of von Neumann algebras ⋮ Norm-principal bimodules of nest algebras. II ⋮ Factorization problems for nests: Factorization methods and characterizations of the universal factorization property ⋮ The Russo-Dye theorem in nest subalgebras of factors ⋮ Operator algebras with the partial factorization property ⋮ 2-local Lie derivations of nest subalgebras of factors ⋮ A Note on Compact Ideal Perturbations in Semifinite von Neumann Algebras ⋮ Quasitriangular subalgebras of semifinite von Neumann algebras are closed ⋮ Jacobson Radicals of Nest Algebras in Factors ⋮ Local automorphisms of nest subalgebras of factor von Neumann algebras ⋮ Lie triple derivations of nest algebras ⋮ Local 2-cocycles of nest subalgebras of factor von Neumann algebras ⋮ Characterization of centralizers on nest subalgebras of von Neumann algebras by local action ⋮ Invariant subspaces of operator algebras ⋮ Characterizations of derivations on triangular rings: additive maps derivable at idempotents ⋮ On the \(K_ 0\) groups of nest algebras ⋮ Linear maps preserving zero products on nest subalgebras of von Neumann algebras ⋮ Factorization in analytic operator algebras

Cites Work

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• On the structure of certain reflexive operator algebras
• The carrier space of a reflexive operator algebra
• The radical of a reflexive operator algebra
• Operator algebras and invariant subspaces
• Analyticity and flows in von Neumann algebras
• The Borel space of von Neumann algebras on a separable Hilbert space
• Triangular Operator Algebras: Fundamentals and Hyperreducible Theory
• Measurable relations
• A Reduction Theory For Non-Self-Adjoint Operator Algebras
• Survey of Measurable Selection Theorems
• On Some Algebras of Operators
• Reflexive Lattices of Subspaces

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