فهرست نشریات علمی دسترسی آزاد ایران

Let $\mathcal{A}$ and $\mathcal{B}$\ are $C^{{\ast}} $-algebras. A linear map $\phi:\mathcal{A\rightarrow B}$ is $C^{\ast}$-Jordan homomorphism if it is a Jordan homomorphism which preserves the adjoint operation. In this note we show that $C^{\ast}$-Jordan homomorphisms -under mild assumptions- preserving covariance set and covariance coset in $C^{\ast}$-algebras.