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Products of roots of the identity |
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| Authors: | M Hladnik M Omladic H Radjavi |
| Institution: | Department of Mathematics, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia ; Department of Mathematics, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia ; Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5 |
| Abstract: | It is proved that every invertible bounded linear operator on a complex infinite-dimensional Hilbert space is a product of five |
| Keywords: | Invertible operators normal operators compact operators roots of the identity group commutators |
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-th roots of the identity for every 
. For invertible normal operators four factors suffice in general.