شماره ركورد كنفرانس :
4338
عنوان مقاله :
A note on spectrum preserving additive maps between $C^{*}$-algebras
پديدآورندگان :
Parvinianzadeh Rohollah r.parvinian@yu.ac.ir Department of Mathematics, University of Yasouj, Yasouj, Iran;
كليدواژه :
Banach algebra , $C^{*}$ , algebra of real rank zero , spectrum preservingg map , von Neumann algebra
عنوان كنفرانس :
سومين سمينار ملي نظريه عملگرها و كاربردهاي آن
چكيده فارسي :
Let $A$ be a unital $C^{*}$-algebra of real rank zero and $B$ a unital semi-simple Banach algebra. Let $\phi$ be a surjective spectrum preserving additive map from $A$ onto $B$. Then $\phi$ is continuous and Jordan isomorphism on self-adjoint element of $A$.
