\(C^\ast\)-ternary biderivations and \(C^\ast\)-ternary bihomomorphisms
type: Item
instance of: scholarly article
title: \(C^\ast\)-ternary biderivations and \(C^\ast\)-ternary bihomomorphisms
zbMATH Open document ID: 1401.46049
published in: Mathematics
publication date: 2018-07-05T00:00:00Z
review text: Summary: In this paper, we investigate \(C^\ast\)-ternary biderivations and \(C^\ast\)-ternary bihomomorphism in \(C^\ast\)-ternary algebras, associated with bi-additive \(s\)-functional inequalities.
Mathematics Subject Classification ID: 46L57
Mathematics Subject Classification ID: 39B82
zbMATH DE Number: 6898722
zbMATH Keywords: \(C^\ast\)-ternary biderivation
zbMATH Keywords: \(C^\ast\)-ternary algebra
zbMATH Keywords: \(C^\ast\)-ternary bihomomorphism
zbMATH Keywords: Hyers-Ulam stability
zbMATH Keywords: bi-additive \(s\)-functional inequality
author: Choonkil Park
MaRDI profile type: Publication
full work available at URL: math6030030
OpenAlex ID: W2793401089
cites work: Q3259049
cites work: On the Stability of the Linear Functional Equation
cites work: On the stability of the linear transformation in Banach spaces
cites work: On the Stability of the Linear Mapping in Banach Spaces
cites work: A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
cites work: An inequality, equivalent to the parallelogram equation
cites work: On inequalities associated with the Jordan-von Neumann functional equation
cites work: Stability of a functional inequality associated with the Jordan-von Neumann functional equation
cites work: On a problem by K. Nikodem
cites work: Additive ρ-functional inequalities and equations
cites work: Additive ρ-functional inequalities in non-Archimedean normed spaces
cites work: APPROXIMATE BI-HOMOMORPHISMS AND BI-DERIVATIONS IN C*-TERNARY ALGEBRAS: REVISITED
cites work: 3-LIE MULTIPLIERS ON BANACH 3-LIE ALGEBRAS
cites work: A fixed-point method for perturbation of higher ring derivations in non-Archimedean Banach algebras
cites work: STABILITY OF (α, β, γ)-DERIVATIONS ON LIE C*-ALGEBRAS
cites work: A fixed point approach to the stability of a mean value type functional equation
cites work: Stability of a monomial functional equation on a restricted domain
cites work: Q5400521
cites work: Q5400556
cites work: Nearly ternary derivations
cites work: A characterization of ternary rings of operators
cites work: Almost derivations on \(C^*\)-ternary rings
cites work: Approximate homomorphisms of ternary semigroups
cites work: APPROXIMATE BI-HOMOMORPHISMS AND BI-DERIVATIONS IN C*-TERNARY ALGEBRAS
cites work: Bi-additive \(s\)-functional inequalities and quasi-\(\ast\)-multipliers on Banach algebras
DOI: 10.3390/MATH6030030
description: scientific article; zbMATH DE number 6898722