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SPECTRA OF LINEAR FRACTIONAL COMPOSITION OPERATORS ON THE GROWTH SPACE AND BLOCH SPACE OF THE UPPER HALF-PLANE
- Source :
- Journal of the Australian Mathematical Society. 107:199-214
- Publication Year :
- 2018
- Publisher :
- Cambridge University Press (CUP), 2018.
-
Abstract
- In this article, we provide a complete description of the spectra of linear fractional composition operators acting on the growth space and Bloch space over the upper half-plane. In addition, we also prove that the norm, essential norm, spectral radius and essential spectral radius of a composition operator acting on the growth space are all equal.
Details
- ISSN :
- 14468107 and 14467887
- Volume :
- 107
- Database :
- OpenAIRE
- Journal :
- Journal of the Australian Mathematical Society
- Accession number :
- edsair.doi...........bbcd240bfc5400aedf4e4101664f7b07