The special properties of the numerical range of normal operators led to the creation of new operator classes. In particular, three classes of operators attracted a lot of attention. Each of these inherits one or more of the numerical range properties of the normal operator.
KeywordsSpectral Radius Operator Class Quadratic Polynomial Numerical Range Bare Point
Unable to display preview. Download preview PDF.
Notes and References
Notes and References for Section 6.1
Notes and References for Section 6.2
Notes and References for Section 6.3
- S. Hildebrandt (1964). “The Closure of the Numerical Range as a Spectral Set,” Comm. Pure Appl. Math., 415–421.Google Scholar
Notes and References for Section 6.4
Notes and References for Section 6.5
Notes and References for Section 6.6
- K. Gustafson (1996). “Trigonometric Interpretation of Iterative Methods,” Proc. Conf. on Algebraic Multilevel Iteration Methods with Applications, (O. Axelsson, ed.), June 13–15, Nijmegen, Netherlands, 23–29.Google Scholar
- K. Gustafson (1996). “Operator Spectral States,” Computers Math. Applic. to appear.Google Scholar
- K. Gustafson and D. Rao (1996). “Spectral States of Normal-like Operators,” to appear.Google Scholar