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Maps preserving numerical ranges of operator products |
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| Authors: | Jinchuan Hou Qinghui Di |
| Institution: | Department of Mathematics, Shanxi Teachers University, Linfen, 041004, People's Republic of China -- and -- Department of Mathematics, Shanxi University, Taiyuan, 030000, People's Republic of China Qinghui Di ; Department of Mathematics, Shanxi Teachers University, Linfen, 041004, People's Republic of China |
| Abstract: | Let  be a complex Hilbert space,  the algebra of all bounded linear operators on  and  the real linear space of all self-adjoint operators on  . We characterize the surjective maps on  or  that preserve the numerical ranges of products or Jordan triple-products of operators. |
| Keywords: | Hilbert spaces numerical ranges Jordan triple-products Jordan isomorphisms |
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