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On partial isometries with circular numerical range
- Source :
- Concrete Operators, Vol 8, Iss 1, Pp 176-186 (2021)
- Publication Year :
- 2021
- Publisher :
- De Gruyter, 2021.
-
Abstract
- In their LAMA 2016 paper Gau, Wang and Wu conjectured that a partial isometry A acting on ℂn cannot have a circular numerical range with a non-zero center, and proved this conjecture for n ≤ 4. We prove it for operators with rank A = n − 1 and any n.
Details
- Language :
- English
- ISSN :
- 22993282
- Volume :
- 8
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Concrete Operators
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.04271b2e7fd548b59bc157e1ba4c630f
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/conop-2020-0121