On Φ-Derivation in Banach Algebras

DOI10.1080/00927870600650457zbMath1105.47032OpenAlexW2091962892MaRDI QIDQ5489288

Z. Abdelali

Publication date: 25 September 2006

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870600650457

zbMATH Keywords

Jacobson density theorem\(\phi\)-derivationderivation mapping into the radical

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Linear operators on Banach algebras (47B48) General theory of topological algebras (46H05) Linear transformations, semilinear transformations (15A04) Derivations, actions of Lie algebras (16W25)

Related Items (6)

Extended Jacobson Density Theorem for Rings With Skew Derivations ⋮ Skew Derivations in Banach Algebras ⋮ On the composition of \(q\)-skew derivations in Banach algebras ⋮ Skew Derivations with Nilpotent Values in Rings and Banach Algebras ⋮ Existence, automatic continuity and invariant submodules of generalized derivations on modules ⋮ ϕ-Derivations on operators on q-Fock space

Cites Work

• Derivations mapping into the radical
• On locally linearly dependent operators and derivations
• The Noncommutative Singer-Wermer Conjecture and ϕ-Derivations
• Spectrally bounded 𝜙–derivations on Banach algebras
• Extended Jacobson density theorem for rings with derivations and automorphisms
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