Cload, Bruce A. Composition operators: Hyperinvariant subspaces, quasi-normals and isometries. (English) Zbl 0917.47027 Proc. Am. Math. Soc. 127, No. 6, 1697-1703 (1999). Summary: We exhibit hyperinvariant subspaces of some composition operators. We also consider quasi-normal composition operators and discuss the commutant of isometric composition operators. Cited in 6 Documents MSC: 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. Keywords:hyperinvariant subspaces; quasi-normal composition operators; commutant of isometric composition operators PDFBibTeX XMLCite \textit{B. A. Cload}, Proc. Am. Math. Soc. 127, No. 6, 1697--1703 (1999; Zbl 0917.47027) Full Text: DOI