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.
KeywordsAssure Hull Dition
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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