Composition operators: Hyperinvariant subspaces, quasi-normals and isometries. (English) Zbl 0917.47027

Summary: We exhibit hyperinvariant subspaces of some composition operators. We also consider quasi-normal composition operators and discuss the commutant of isometric composition operators.


47B38 Linear operators on function spaces (general)
47A15 Invariant subspaces of linear operators
47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
47B20 Subnormal operators, hyponormal operators, etc.
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