Unitary similarity of projectors |
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Authors: | Dragomir Ž Doković |
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Institution: | (1) Department of Pure Mathematics, University of Waterloo, N2L 3G1 Waterloo, Ontario, Canada |
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Abstract: | Summary We deal with linear operators acting in a finite dimensional complex Hilbert space. We show that there exists a simple canonical form for projectors (not necessarily orthogonal) under unitary similarity. As a consequence we obtain a simple test for unitary similarity of projectors. IfP is a projector we show thatP andP
* are unitarily similar. We also determine the isomorphism type of the algebra generated by the projectorsP andP
*.Dedicated to the memory of Alexander M. Ostrowski on the occasion of the 100th anniversary of his birth |
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Keywords: | Primary 15A21 15A30 Secondary 15A72 15A18 |
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