Approximation of Jordan homomorphisms in Jordan Banach algebras
- Title
- Approximation of Jordan homomorphisms in Jordan Banach algebras
- Author
- 박춘길
- Keywords
- Generalized Hyers-Ulam stability; Jordan algebra; Jordan homomorphism
- Issue Date
- 2013-05
- Publisher
- Academic Center for Education, Culture and Research TMU
- Citation
- Iranian Journal of Mathematical Sciences and Informatics, 2013, 8(1), P.39-47
- Abstract
- In this paper, we investigate the generalized Hyers-Ulam stability of Jordan homomorphisms in Jordan Banach algebras for the functional equation begin{align*} sum_{k=2}^n sum_{i_1=2}^ksum_{i_2=i_{1}+1}^{k+1}cdotssum_{i_n-k+1=i_{n-k}+1}^n fleft(sum_{i=1,i not=i_{1},cdots ,i_{n-k+1}}^n x_{i}-sum_{r=1}^{n-k+1} x_{i_{r}}right) + fleft(sum_{i=1}^{n}x_{i}right)-2^{n-1} f(x_{1}) =0, end{align*} where $n$ is an integer greater than 1.
- URI
- https://link.springer.com/journal/40096https://repository.hanyang.ac.kr/handle/20.500.11754/71093
- ISSN
- 2251-7456; 2008-1359
- DOI
- 10.1186/2251-7456-6-55
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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