پديدآورندگان :
Taghavi Ali taghavi@umz.ac.ir Department of Mathematics, Faculty of Mathematical Science,
University of Mazandaran, Babolsar, Iran;
, Salehi Amiri Seyed Sadegh salehisss@baboliau.ac.ir Department of Mathematics, Babol Branch, Islamic Azad University, Babol, Iran;
چكيده فارسي :
Let $\mathbb{U}_{n}$ be a group of $n \times n$ complex unitary matrices and $\mathbb{D}_{n}$ be a its subgroup consists of $n \times n$ diagonal matrices which diagonal elements are complex numbers of modulus $1$. In this paper we present the general form of all continuous maps from $\mathbb{D}_{n}$ to $\mathbb{U}_{m}$ that preserve the Jordan triple product. These are the continuous maps $ \phi :\mathbb{D}_{n} \rightarrow \mathbb{U}_{m}$ which satisfy \phi(VWV) = \phi(V) \phi(W) \phi(W) V, W \in D_{n}.
