Biderivations and bihomomorphisms in Banach algebras

DOI10.2298/FIL1908317PzbMath1499.39102MaRDI QIDQ5080849

Chun-Gil Park

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

Hyers-Ulam stabilitybi-additives-functional in-equalitybiderivation on \(C^\ast\)-algebrabihomomorphism in Banach algebra

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) General theory of (C^*)-algebras (46L05) Functional equations for functions with more general domains and/or ranges (39B52) Functional inequalities, including subadditivity, convexity, etc. (39B62) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (4)

Bihomomorphisms and biderivations in Lie Banach algebras ⋮ Best approximations of stochastic bi-homomorphisms and bi-derivations in MC-\(\diamond\)-algebras ⋮ Ulam stability of bihomomorphisms and biderivations in Banach algebras ⋮ Hyers-Ulam stability of an additive-quadratic functional equation

Cites Work

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• Symmetric bi-derivations on prime and semi-prime rings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Jordan \((\theta, \phi)\)-derivations on Hilbert \(C^\ast\)-modules
• On inequalities associated with the Jordan-von Neumann functional equation
• Nearly ternary derivations
• Stability of a functional inequality associated with the Jordan-von Neumann functional equation
• On the stability of the linear transformation in Banach spaces
• A FIXED-POINT METHOD FOR PERTURBATION OF HIGHER RING DERIVATIONS IN NON-ARCHIMEDEAN BANACH ALGEBRAS
• STABILITY OF (α, β, γ)-DERIVATIONS ON LIE C*-ALGEBRAS
• 3-LIE MULTIPLIERS ON BANACH 3-LIE ALGEBRAS
• APPROXIMATE BI-HOMOMORPHISMS AND BI-DERIVATIONS IN C^*-TERNARY ALGEBRAS
• On the Stability of the Linear Mapping in Banach Spaces
• Permuting triderivations of prime and semiprime rings
• On a problem by K. Nikodem
• The solution of a class functional equations on semi-groups
• Additive s-functional inequalities and partial multipliers in Banach algebras
• Additive ρ-functional inequalities and equations
• Additive ρ-functional inequalities in non-Archimedean normed spaces
• Stability of the pexiderized quadratic functional equation in paranormed spaces
• On the Stability of the Linear Functional Equation
• An inequality, equivalent to the parallelogram equation

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