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ON LEFT-RIGHT CONSISTENCY IN RINGS
- Mathematical Proceedings of the Royal Irish Academy
- Royal Irish Academy
- Volume 106A, Number 1, June 2006
- pp. 11-17
- 10.1353/mpr.2006.0011
- Article
- Additional Information
Abstract
Abstract:
A bounded linear operator T is said to be 'left-right consistent' if the products ST and TS always have the same spectrum: this notion lies behind a spectral property of positive operators. Extended to Banach algebras, the same notion helps to delineate the closure of the invertible group.
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