Generating the commutant of a composition operator. (English) Zbl 0901.47017

Jafari, Farhad (ed.) et al., Studies on composition operators. Proceedings of the Rocky Mountain Mathematics Consortium, Laramie, WY, USA, July 8–19, 1996. Providence, RI: American Mathematical Society. Contemp. Math. 213, 11-15 (1998).
Summary: We consider when the commuting Toeplitz operators and commuting composition operators generate the commutant of a fixed composition operator. We also classify the Hankel operators which commute with a composition operator.
For the entire collection see [Zbl 0880.00042].


47B38 Linear operators on function spaces (general)
47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.)