On a theorem of Weyl
✍ Scribed by J. T. Lewis; M. Schreiber
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 1984
- Tongue
- English
- Weight
- 171 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0378-620X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
If T or T \* is log-hyponormal then for every f g H T , Weyl's theorem holds Ž . Ž Ž .. for f T , where H T denotes the set of all analytic functions on an open Ž . neighborhood of T . Moreover, if T \* is p-hyponormal or log-hyponormal or Ž Ž .. Ž . M-hyponormal then for every f g H T , a-Weyl's t
respectively for the spectrum and the Weyl spectrum of T ; moreover, Weyl's Ž . 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