Isomorphisms of certain CSL algebras

DOI10.1016/0022-1236(86)90039-XzbMath0635.47040OpenAlexW2037133309MaRDI QIDQ1097503

Robert L. Moore, Frank L. Gilfeather

Publication date: 1986

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90039-x

zbMATH Keywords

orthogonal projectionscommutative subspace latticeCDC algebraalgebraic isomorphisms between CSL algebraslattice of range projectionsquasi-spatial implementationsubspace lattice on a complex Hilbert space

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Invariant subspaces of linear operators (47A15)

Related Items (21)

Derivations of CDC algebras ⋮ Lie isomorphisms of reflexive algebras ⋮ Algebraic isomorphisms and strongly double triangle subspace lattices ⋮ Jordan \((\alpha,\beta)\)-derivations on operator algebras ⋮ Rank-1 preserving linear maps on nest algebras. ⋮ Multiplicative generalized Lie n-derivations on completely distributive commutative subspace lattice algebras ⋮ Nonlinear generalized semi-Jordan triple derivable mappings on completely distributive commutative subspace lattice algebras ⋮ On some automorphisms of a class of Kadison-Singer algebras ⋮ Isometries of nest algebras ⋮ On the rank of operators in reflexive algebras ⋮ Isometries of certain reflexive operator algebras ⋮ Lie derivations of certain CSL algebras ⋮ Derivations on the algebra of operators in Hilbert \(C^*\)-modules ⋮ On Isomorphisms Between Certain Non-CSL Algebras ⋮ Linear mappings derivable at some nontrivial elements ⋮ Algebraic isomorphisms and $\mathcal {J}$-subspace lattices ⋮ Isometries of CSL Algebras ⋮ A note on 2-local automorphisms of digraph algebras ⋮ A note on annihilator Banach algebras ⋮ Single elements of matrix incidence algebras ⋮ Characterization of derivations on reflexive algebras

Cites Work

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• Automorphisms of quasitriangular algebras
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• Derivations of nest algebras
• Normed algebras
• Commuting spectral measures on Hilbert space
• A Note on Rank-One Operators in Reflexive Algebras
• Approximants, Commutants and Double Commutants in Normed Algebras
• Finite Rank Operators in Reflexive Operator Algebras
• Strongly Reflexive Lattices
• Operators of Rank One in Reflexive Algebras
• Algebraic Automorphisms of Operator Algebras
• On Some Algebras of Operators. II
• The uniqueness of the (complete) norm topology

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