Bi-additive \(s\)-functional inequalities and quasi-multipliers on Banach algebras

DOI10.1216/RMJ-2019-49-2-593zbMath1417.39078MaRDI QIDQ2002511

Yuanfeng Jin, Xiao Hong Zhang, Chun-Gil Park

Publication date: 12 July 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1561318395

zbMATH Keywords

Hyers-Ulam stabilityBanach algebras\(C^\ast\)-algebraquasi-multiplierbi-additive \(s\)-functional inequality

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) 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)

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Bi-additive \(\sigma \)-random operator inequalities and random quasi-\(*\)-multipliers on MB-algebras ⋮ Best approximation of \((\mathcal{G}_1,\mathcal{G}_2)\)-random operator inequality in matrix Menger Banach algebras with application of stochastic Mittag-Leffler and \(\mathbb{H} \)-Fox control functions ⋮ On stability of quadratic Lie hom-ders in Lie Banach algebras ⋮ Remarks on the stability of the 3-variable functional inequalities of Drygas ⋮ Stability of Bi-additive s-Functional Inequalities and Quasi-multipliers ⋮ Approximation of an additive \(\left(\varrho_1, \varrho_2\right)\)-random operator inequality ⋮ Best approximation of \(\kappa \)-random operator inequalities in matrix MB-algebras ⋮ A general additive functional inequality and derivation in Banach algebras ⋮ Ternary biderivations and ternary bihomorphisms in \(C^\ast\)-ternary algebras ⋮ Hyers-Ulam stability of symmetric biderivations on Banach algebras

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