Relatively Regular Operators and a Spectral Mapping Theorem
β Scribed by C. Schmoeger
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 161 KB
- Volume
- 175
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
## Abstract Capacities of generalized condensers are applied to prove a twoβpoint distortion theorem for conformal mappings. The result is expressed in terms of the Robin function and the Robin capacity with respect to the domain of definition of the mapping and subsets of the boundary of this doma
respectively for the spectrum and the Weyl spectrum of T ; moreover, Weyl's Ε½ . theorem holds for f T q F if ''dominant'' is replaced by ''M-hyponormal,'' where F is any finite rank operator commuting with T. These generalize earlier results for hyponormal operators. It is also shown that there exis