Published September 1, 2017
| Submitted
Journal Article
Open
Unitaries permuting two orthogonal projections
- Creators
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Simon, Barry
Chicago
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Abstract
Let P and Q be two orthogonal projections on a separable Hilbert space, H. Wang, Du and Dou proved that there exists a unitary, U, with UPU^(−1) =Q, UQU^(−1) =P if and only if dim(kerP∩ker(1−Q))=dim(kerQ∩ker(1−P)) (both may be infinite). We provide a new proof using the supersymmetric machinery of Avron, Seiler and Simon.
Additional Information
© 2017 Elsevier Inc. Received 15 March 2017, Accepted 27 March 2017, Available online 29 March 2017. Submitted by P. Semrl. Research supported in part by NSF grant DMS-1265592 and in part by Israeli BSF Grant No. 2010348.Attached Files
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Additional details
- Eprint ID
- 77282
- DOI
- 10.1016/j.laa.2017.03.026
- Resolver ID
- CaltechAUTHORS:20170509-073922440
- NSF
- DMS-1265592
- Binational Science Foundation (USA-Israel)
- 2010348
- Created
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2017-05-09Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field