Spectra of some composition operators and associated weighted composition operators
arXiv:0908.1405
Abstract
We characterize the spectrum and essential spectrum of "essentially linear fractional" composition operators acting on the Hardy space H-two of the open unit disc U. When the symbols of these composition operators have Denjoy-Wolff point on the unit circle, the spectrum and essential spectrum coincide. Our work permits us to describe the spectrum and essential spectrum of certain associated weighted composition operators on the Hardy space.
17 pages, 1 figure
References in corpus (2)
Cited by in corpus (5)
- Spectra of Composition Operators with Symbols in S(2)
- Spectral properties of weighted composition operators on $\Hol(\D)$ induced by rotations
- Complex symmetry of composition operators on weighted Bergman spaces
- Reproducing kernel Hilbert spaces supporting nontrivial Hermitian weighted composition operators
- Which weighted composition operators are hyponormal on the Hardy and weighted Bergman spaces?