Algebraic isomorphisms and Jordan derivations of J-subspace lattice algebras

DOI10.4064/SM158-3-7zbMath1065.47037OpenAlexW2014543725MaRDI QIDQ4811099

Fangyan Lu, Peng Tong Li

Publication date: 18 August 2004

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: http://journals.impan.gov.pl/sm/Inf/158-3-7.html

zbMATH Keywords

Jordan derivationadditive derivationalgebraic isomorphismquasi-spatiality\({\mathcal J}\)-subspace lattice

Mathematics Subject Classification ID

Automatic continuity (46H40) Commutators, derivations, elementary operators, etc. (47B47) Linear operators on Banach algebras (47B48) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (13)

Lie isomorphisms of reflexive algebras. II. ⋮ Lie \(n\)-derivations on \( {\mathcal {J}}\)-subspace lattice algebras ⋮ Isomorphisms and generalized derivations of some algebras ⋮ A characterization of derivations of JSL algebras ⋮ Jordan isomorphisms of \(\mathcal J\)-subspace lattice algebras ⋮ Jordan elementary operators on \(\mathcal J\)-subspace lattice algebras ⋮ Lie triple derivations on \(\mathcal{J}\)-subspace lattice algebras ⋮ Additive maps derivable at some points on \(\mathcal J\)-subspace lattice algebras ⋮ Characterization of (generalized) Lie derivations on \(\mathcal{J}\)-subspace lattice algebras by local action ⋮ Centralizers of \(\mathcal J\)-subspace lattice algebras ⋮ Local maps of JSL algebras ⋮ Elementary operators on 𝒥-subspace lattice algebras ⋮ Lie derivations of $\mathcal J$-subspace lattice algebras

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