Preservers of the c-numerical radius of operator jordan semi-triple products
Yanf ng Zhang, Xiaoc un Fang · Operators and Matrices · 2021
Let H be a complex Hilbert space with dim H 3 , let B(H ) be the algebra of all bounded linear operators on H and let B s (H ) be the real Jordan algebra of all self-adjoint operators in B(H ) . Let A = B(H ) or B s (H ) . We characterize the surjective maps on A preserving the c -numerical radius of Jordan semi-triple products of operators. Further, the maps on A preserving the c -numerical range of Jordan semi-triple products are characterized according to different cases of c .