The Jacobson Radical of a CSL Algebra

DOI10.2307/2154516zbMath0812.47046OpenAlexW4256434044MaRDI QIDQ4311361

Kenneth R. Davidson, John Lindsay Orr

Publication date: 9 May 1995

Full work available at URL: https://doi.org/10.2307/2154516

zbMATH Keywords

completely distributive latticesinterpolation theoremradical of a CSL algebraRingrose idealRingrose's characterization of the Jacobson radical of a nest algebra

Mathematics Subject Classification ID

Trees (05C05) Combinatorics of partially ordered sets (06A07) Linear inequalities of matrices (15A39) Abstract operator algebras on Hilbert spaces (47L30) Invariant subspaces of linear operators (47A15) Linear operator methods in interpolation, moment and extension problems (47A57) Jacobson radical, quasimultiplication (16N20) Combinatorial aspects of packing and covering (05B40)

Related Items (2)

Finite rank operators in Jacobson radical $$\mathcal{R}_{\mathcal{N} \otimes \mathcal{M}} $$ ⋮ On the primitive ideals of nest algebras

Cites Work

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• Isomorphisms modulo the compact operators of nest algebras. II
• The carrier space of a reflexive operator algebra
• Problems about reflexive algebras
• The radical of a reflexive operator algebra
• Operator algebras and invariant subspaces
• Weak Limits of Projections and Compactness of Subspace Lattices
• Compactness and Complete Distributivity for Commutative Subspace Lattices
• On Some Algebras of Operators

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