Normal operators of finite multiplicity
โ Scribed by S. R. Foguel
- Publisher
- John Wiley and Sons
- Year
- 1958
- Tongue
- English
- Weight
- 654 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0010-3640
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๐ SIMILAR VOLUMES
## Abstract We study the regularity of the roots of complex monic polynomials __P__ (__t__) of fixed degree depending smoothly on a real parameter __t__. We prove that each continuous parameterization of the roots of a generic __C__^โ^ curve __P__ (__t__) (which always exists) is locally absolutely
We classify all products of flag varieties with finitely many orbits under the diagonal action of the general linear group. We also classify the orbits in each case and construct explicit representatives.
A constructive method for producing a test function space and hence a generalized function space suitable for a given normal operator is developed. Spectral theory and a functional calculus are shown to be valid in these spaces. Application of the theory is illustrated by considering a normal realis