박춘길
2018-03-27T01:55:37Z
2018-03-27T01:55:37Z
2012-09
Advances in Difference Equations, 2012, 1, P.1-14
1687-1847
https://advancesindifferenceequations.springeropen.com/articles/10.1186/1687-1847-2012-162
http://hdl.handle.net/20.500.11754/52883
Let , be vector spaces. It is shown that if an odd mapping satisfies the functional equation(rf(Sigma(d)(j=1)x(j)/r) + Sigma(r(j)=0,1 Sigma j=1d iota(j)=1)) rf(Sigma(d)(j=1)(-1)(iota(j))x(j)/r)= (C-d-1(j)-(d-1) Cj-1 + 1) Sigma(d)(j=1) f(x(j))then the odd mapping is additive, and we use a fixed-point method to prove the Hyers-Ulam stability of the functional equation (0.1) in multi-Banach modules over a unital multi--algebra. As an application, we show that every almost linear bijection of a unital multi--algebra onto a unital multi--algebra is a -algebra isomorphism when for all unitaries , all , and .MSC: 39B52, 46L05, 47H10, 47B48.
en
Springer International Publishing AG
NORMED-SPACES
STABILITY
ULAM
Approximation of a generalized additive mapping in multi-Banach modules and isomorphisms in multi-C*-algebras: a fixed-point approach
Article
10.1186/1687-1847-2012-162
1-14
ADVANCES IN DIFFERENCE EQUATIONS
Park, Choonkil
Saadati, Reza
2012214637
S
COLLEGE OF NATURAL SCIENCES[S]
DEPARTMENT OF MATHEMATICS
baak