Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664072 | Acta Mathematica Scientia | 2012 | 10 Pages |
Abstract
For a Banach algebra A, we denote by A* and A** the first and the second duals of A respectively. Let T be a mapping from A* to itself. In this article, we will investigate some stability results concerning the equationsT(αf+βg)=αT(f)+βT(g), T(αf)=αT(f)T(αf+βg)=αT(f)+βT(g), T(αf)=αT(f)andT(αf+βg)+T(αf−βg)=2α2T(f)+2β2T(g)T(αf+βg)+T(αf−βg)=2α2T(f)+2β2T(g)where f,g ∈ A*, a ∈ A , and α,β∈ℚ\{0}α,β∈ℚ\{0}.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
A. Ghaffari, S. Javadi, H. Khodaei,