Nest algebras and similarity transformations
From MaRDI portal
Publication:1084648
DOI10.2307/1971180zbMath0606.47045OpenAlexW2083605797MaRDI QIDQ1084648
Publication date: 1985
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1971180
factorizationatomic von Neumann algebramaximal nestmultiplicity-one nestnon- commutative nestssimilar continuous nests on a separable Hilbert space can fail to be unitarily equivalent
Abstract operator algebras on Hilbert spaces (47L30) Invariant subspaces of linear operators (47A15)
Related Items (60)
Ideals of causal operators ⋮ Close CSL algebras are similar ⋮ Factorizations along commutative subspace lattices ⋮ Arveson Nests and Operator Factorization Along Commutative Subspace Lattices ⋮ Approximate unitary equivalence of completely distributive commutative subspace lattices ⋮ Factorization of operators. Theory and applications ⋮ The Russo-Dye Theorem in a weakly closed 𝒯(𝒩)–module ⋮ Interpolation problems for ideals in nest algebras ⋮ A non-selfadjoint Russo-Dye theorem ⋮ Descriptions of Nest Algebras ⋮ Bilocal Lie derivations on nest algebras ⋮ Isomorphisms modulo the compact operators of nest algebras. II ⋮ Factorization along commutative subspace lattices ⋮ Norm-principal bimodules of nest algebras. II ⋮ Factorization problems for nests: Factorization methods and characterizations of the universal factorization property ⋮ Jordan all-derivable points in the algebra of all upper triangular matrices ⋮ The Russo-Dye theorem in nest subalgebras of factors ⋮ Singly-generated norm closed bimodules of nest algebras ⋮ Minimal generating reflexive lattices of projections in finite von Neumann algebras ⋮ Invertible factorization over multiplier algebras ⋮ Effective construction of a class of positive operators in Hilbert space, which do not admit triangular factorization ⋮ An analogue of a Hardy-Littlewood-Fejer inequality for upper triangular trace class operators ⋮ Factorisation in nest algebras ⋮ Maximal nilpotent ideals and isomorphisms of large subalgebras of nest algebras ⋮ Problems about reflexive algebras ⋮ Idempotents in nest algebras ⋮ All-derivable points in the algebra of all upper triangular matrices ⋮ All-derivable points in continuous nest algebras ⋮ ON SMALL SUBSPACE LATTICES IN HILBERT SPACE ⋮ Factorisation in nest algebras. II ⋮ Essentially Triangular Algebras ⋮ Strong-Principal Bimodules of Nest Algebras ⋮ All the Infinite Nest Algebras are Isomorphic ⋮ Approximate Unitary Equivalence of Continuous Nests ⋮ Lie triple derivations of nest algebras ⋮ Complete Distributivity and Ordered Group Lattices ⋮ Invariant subspaces of operator algebras ⋮ A general Christoffel-Darboux type formula ⋮ On some Ideals of Nest Algebras ⋮ Factorisation of orthogonal projectors ⋮ Triangular algebras and ideals of nest algebras ⋮ On the primitive ideals of nest algebras ⋮ Similarity of nests in \(L_1\) ⋮ Principal bimodules of nest algebras ⋮ Norm-principal bimodules of nest algebras ⋮ Factorization in subdiagonal algebras ⋮ A New Class of Maximal Triangular Algebras ⋮ Iwasawa decompositions of some infinite-dimensional Lie groups ⋮ On the \(K_ 0\) groups of nest algebras ⋮ Characterizations of all-derivable points in nest algebras ⋮ \(C^\ast\)-extreme maps and nests ⋮ Lie isomorphisms of nest algebras ⋮ Invariance of Projections in the Diagonal of a Nest Algebra ⋮ Factorization in Operator Algebras ⋮ Perturbation theory for groups and lattices ⋮ Well-posed feedback systems and the resolution topology ⋮ Weak Limits of Projections and Compactness of Subspace Lattices ⋮ Automorphisms of quasitriangular algebras ⋮ Similarity and isometric equivalence of \(L_ p\)-nets ⋮ Factorization in analytic operator algebras
This page was built for publication: Nest algebras and similarity transformations
