自伴算子代数上保持乘积的-数值半径映射的刻画

Self-adjoint Operator Algebras Preserving the c-Numerical Radius Mapping of Operator Products

摘要:

令为复Hilbert空间上自伴的有界线性算子全体组成的实Jordan代数。给出上保持算子乘积-数值半径的满射的刻画。进而对一类特殊的，刻画了上保持算子乘积的-数值域的满射。

Abstract:

Let be the real Jordan algebra of all self- adjoint operators on a complex Hilbert space.We characterize the surjective maps preserving the -numerical radius of products for operators in.Further, for a special kind of,the form of surjections preserving the -numerical range of products for operators in is obtained.