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THE NUMERICAL RANGE IS A (1 + √2)-SPECTRAL SET.
- Source :
-
SIAM Journal on Matrix Analysis & Applications . 2017, Vol. 38 Issue 2, p649-655. 7p. - Publication Year :
- 2017
-
Abstract
- It is shown that the numerical range of a linear operator on a Hilbert space is a (complete) (1+√2)-spectral set. The proof relies, among other things, on the behavior of the Cauchy transform of the conjugates of holomorphic functions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08954798
- Volume :
- 38
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Matrix Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 123852886
- Full Text :
- https://doi.org/10.1137/17M1116672