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Maps leaving functional values of operator products invariant |
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| Authors: | Jianlian Cui Jinchuan Hou |
| Affiliation: | a Department of Mathematical Sciences, Tsinghua University, Beijing 100084, PR China b Department of Mathematics, Taiyuan University of Technology, Taiyuan 030024, PR China c Department of Mathematics, Shanxi Normal University, Linfen, 041004, PR China |
| Abstract: | Let A be a standard operator algebra on a complex Hilbert space H of dimension greater than 2. By invariants of certain functional values of operator products, we characterize some surjective maps on A. Furthermore, several kinds of general preserver problems on standard operator algebras are solved when we take respectively the functional as, for example, k-numerical radius (k?1), operator norm, Ky Fan k-norm, Schatten p-norm (1?p<∞), and so on. |
| Keywords: | 47B48 47B49 Secondary 47A12, 47A30 |
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