| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4621784 | Journal of Mathematical Analysis and Applications | 2008 | 11 Pages |
Abstract
In this paper, we investigate homomorphisms in proper JCQ∗JCQ∗-triples and derivations on proper JCQ∗JCQ∗-triples associated with the following functional equation1kf(kx+ky+kz)=f(x)+f(y)+f(z) for a fixed positive integer k . We moreover prove the generalized Hyers–Ulam stability of homomorphisms in proper JCQ∗JCQ∗-triples and of derivations on proper JCQ∗JCQ∗-triples. This is applied to investigate isomorphisms between proper JCQ∗JCQ∗-triples.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Choonkil Park, Themistocles M. Rassias,