On the rank of operators in reflexive algebras

DOI10.1016/0024-3795(90)90268-HzbMath0738.47044MaRDI QIDQ1173628

Michael S. Lambrou

Publication date: 25 June 1992

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

single operators not of rank onesingle operators of rank one

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Spectral sets of linear operators (47A25)

Related Items (15)

Derivations, local derivations and atomic boolean subspace lattices ⋮ Isomorphisms of certain CSL algebras ⋮ Lie isomorphisms of reflexive algebras ⋮ On generalized (\(m, n, l\))-Jordan centralizers of some algebras ⋮ Single elements of finite CSL algebras ⋮ Local derivations and local automorphisms. ⋮ On the ranks of single elements of reflexive operator algebras ⋮ Additive maps derivable at some points on \(\mathcal J\)-subspace lattice algebras ⋮ On centralizers of reflexive algebras ⋮ Algebraic isomorphisms and $\mathcal {J}$-subspace lattices ⋮ Centralizers of \(\mathcal J\)-subspace lattice algebras ⋮ Elementary operators on 𝒥-subspace lattice algebras ⋮ Single elements and module isomorphisms of some operator algebra modules ⋮ Single elements of matrix incidence algebras ⋮ Full-derivable points of \(\mathcal {J}\)-subspace lattice algebras

Cites Work

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• Isomorphisms of certain CSL algebras
• On certain elements of \(C^ *\)-algebras
• Approximants, Commutants and Double Commutants in Normed Algebras
• Strongly Reflexive Lattices
• Complete Atomic Boolean Lattices
• Rank one elements of Banach algebras
• On Some Algebras of Operators
• On Some Algebras of Operators. II
• AN ABSTRACT CHARACTERIZATION OF NEST ALGEBRAS
• Reflexive Lattices of Subspaces
• A note on annihilator Banach algebras

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