Hom-derivations in C*-ternary Algebras
- Title
- Hom-derivations in C*-ternary Algebras
- Author
- 박춘길
- Keywords
- Hyers–Ulam stability; additive (ρ1, ρ2)-functional inequality; fixed point method; direct method; hom-derivation on C∗-ternary algebra
- Issue Date
- 2020-09
- Publisher
- SPRINGER HEIDELBERG
- Citation
- ACTA MATHEMATICA SINICA-ENGLISH SERIES, v. 36, no. 9, page. 1025-1038
- Abstract
- In this paper, we introduce and solve the following additive (rho(1), rho(2))-functional inequalities
parallel to f(x + y + z) - f(x) - f(y) - f(z) parallel to ˂= parallel to rho(1)(f(x + z) - f(x) - f(z)) parallel to + parallel to rho(2)(f(y + z) - f(y) - f(z))parallel to, where rho(1) and rho(2) are fixed nonzero complex numbers with vertical bar rho(1)vertical bar + vertical bar rho(2)vertical bar ˂ 2. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the above additive (rho(1), rho(2))functional inequality in complex Banach spaces. Furthermore, we prove the Hyers-Ulam stability of hom-derivations in C*-ternary algebras.
- URI
- https://link.springer.com/article/10.1007/s10114-020-9323-3https://repository.hanyang.ac.kr/handle/20.500.11754/170684
- ISSN
- 1439-8516; 1439-7617
- DOI
- 10.1007/s10114-020-9323-3
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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