论文信息 - Preservers of the c-numerical radius of operator jordan semi-triple products

Preservers of the c-numerical radius of operator jordan semi-triple products

Let H be a complex Hilbert space with dimH 3 , let B(H ) be the algebra of all bounded linear operators on H and let Bs(H ) be the real Jordan algebra of all self-adjoint operators in B(H ) . Let A = B(H ) or Bs(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 . Mathematics subject classification (2020): 47A12, 47B49.

Yanf ng Zhang | Xiaoc un Fang | X. Fang | Y. Zhang

[1] Yanfang Zhang,et al. c-numerical range of operator products on B(H) , 2019, 1901.05245.

[2] K. He,et al. Maps preserving numerical radius or cross norms of products of self-adjoint operators , 2010 .

[3] PRESERVERS OF UNITARY SIMILARITY FUNCTIONS ON LIE PRODUCTS OF MATRICES , 2014, 1410.6213.

[4] Preservers of radial unitary similarity functions on products of operators , 2017 .

[5] Chi-Kwong Li,et al. Mappings that preserve pairs of operators with zero triple Jordan product , 2007 .

[6] F. Lu,et al. Maps that preserve higher-dimensional numerical ranges with operator Jordan products , 2017 .

[7] Chi-Kwong Li. The c-spectralc-radial and c-convex matrices , 1986 .

[8] J. Hou,et al. Maps leaving functional values of operator products invariant , 2008 .

[9] Chi-Kwong Li,et al. Linear Operators that Preserve the c-Numerical Range or Radius of Matrices , 1988 .

[10] Chi-Kwong Li,et al. Unitary similarity invariant function preservers of skew products of operators , 2016, 1608.01758.