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An operator not satisfying Lomonosov's hypothesis |
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| Authors: | DW Hadwin EA Nordgren Heydar Radjavi Peter Rosenthal |
| Institution: | University of New Hampshire, Durham, New Hampshire 03824 U.K.;Dalhousie University, Halifax, Nova Scotia B3H 4H8, Canada;University of Toronto, Toronto, Ontario M5S 1A1, Canada |
| Abstract: | An example is presented of a Hilbert space operator such that no non-scalar operator that commutes with it commutes with a non-zero compact operator. This shows that Lomonosov's invariant subspace theorem does not apply to every operator. |
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