Unitary similarity of projectors
- Dragomir Ž Doković
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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 *.
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- Unitary similarity of projectors
Volume 42, Issue 1 , pp 220-224
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- 1. Department of Pure Mathematics, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada