A MODEL FOR INVERTIBLE COMPOSITION OPERATORS ON H-2

Authors
HURST PR
Citation
Pr. Hurst, A MODEL FOR INVERTIBLE COMPOSITION OPERATORS ON H-2, Proceedings of the American Mathematical Society, 124(6), 1996, pp. 1847-1856
Citations number
4
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
6
Year of publication
1996
Pages
1847 - 1856
Database
ISI
SICI code
0002-9939(1996)124:6<1847:AMFICO>2.0.ZU;2-M
Abstract
A model is obtained for invertible hyperbolic and parabolic compositio n operators on H-2. This model shows that the adjoints of these compos ition operators are similar to block Toeplitz matrices constructed wit h weighted bilateral shifts and rank one operators.