Linear maps preserving commutativity |
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| Institution: | University of Toronto Toronto, Ontario, Canada;Sharif University, Canada;University of Victoria Victoria, British Columbia, Canada;Department of Mathematics, Statistics and Computing Science Dalhousie University Halifax, Nova Scotia, Canada B3H 4H8 |
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| Abstract: | Commutativity-preserving maps on the real space of all real symmetric or complex self-adjoint matrices are characterized. Related results are given for adjoint-preserving maps defined on all n × n matrices. These results are extended to infinite dimensions in the case of invertible maps. |
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