Multiplicative maps on ℬ(X) |
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| Authors: | Jinchuan Hou |
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| Affiliation: | (1) Department of Mathematics, Shanxi Teachers University, 041004 Linfen, China |
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| Abstract: | A structural feature of multiplicative maps on ℬ(X) which sends some rank-1 operator to an operator of rank not greater than 1 is given, and based on it, some characterizations of automorphism of ℬ(X) are obtained and some multiplicative preserver problems are answered. Project supported by the National Natural Science Foundation of China (Grant No.19671055) and Provincial Natural Science Foundation of Shanxi. |
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| Keywords: | multiplicative maps spectrum preserving map positivity preserving map |
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