Lie and Jordan Ideals of Operators on Hilbert Space

DOI10.2307/2044026zbMath0509.47035OpenAlexW4248495921MaRDI QIDQ4747102

C. Robert Miers, Ahmed Ramzi Sourour, Che-Kao Fong

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2044026

zbMATH Keywords

operators on Hilbert spacesJordan idealsLie-ideal

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30)

Related Items

Standard operator Jordan rings on Banach spaces, and their derivations ⋮ On Unitary Invariant Ideals in the Algebra of Compact Operators ⋮ On the closed Lie ideals of certain \(C^*\)-algebras ⋮ A condition for a subspace of \({\mathcal B} (H)\) to be an ideal ⋮ Kernel maps and operator decomposition ⋮ The orthogonal Lie algebra of operators: ideals and derivations ⋮ Jordan modules and Jordan ideals of reflexive algebras ⋮ Similarity invariant real linear subspaces and similarity preserving additive maps. ⋮ Lie ideals: from pure algebra to C*-algebras ⋮ Approximation of multipliers by regular operators ⋮ On the Lie algebra of holomorphic infinitesimal isometries of some classical complex symmetric Banach manifolds ⋮ Jordan epimorphisms of nest algebras ⋮ Decomposability of finite rank operators in Lie ideals of nest algebras ⋮ On closed Lie ideals and center of generalized group algebras ⋮ Lie ideals in triangular operator algebras ⋮ On ideals and Lie ideals of compact operators

Cites Work

• On linear combinations of special operators
• On commutators in ideals of compact operators
• Two-sided ideals and congruences in the ring of bounded operators in Hilbert space
• Products of symmetries
• Commutators of compact operators.
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