The Essential Spectrum and Banach Reducibility of Operator Weighted Shifts
β Scribed by Jue Xian Li; You Quing Ji; Shan Li Sun
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2001
- Tongue
- English
- Weight
- 194 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For regular operators on a Banach lattice, we introduce and investigate two notions of order essential spectrum analogous to the essential spectrum and the Weyl spectrum for operators on Banach spaces. We also discuss related questions on the behaviour of the order spectrum under perturbation by r-c
## Abstract Descloux and Geymonat considered a model problem for a plasma in a toroidal configuration and conjectured that the essential spectrum has an explicitly given band structure. This conjecture was recently proved by Faierman, Mennicken, and MΓΆller by employing an operator matrix representa