Gallardo Gutiérrez, Eva AntoniaCowen, Carl C.2023-06-202023-06-202011Cowen, C. C. & Gallardo Gutiérrez, E. A. «Unitary Equivalence of One-Parameter Groups of Toeplitz and Composition Operators». Journal of Functional Analysis, vol. 261, n.o 9, noviembre de 2011, pp. 2641-55. DOI.org (Crossref), https://doi.org/10.1016/j.jfa.2011.07.005.0022-123610.1016/j.jfa.2011.07.005https://hdl.handle.net/20.500.14352/43773The composition operators on H(2) whose symbols are hyperbolic automorphisms of the unit disk fixing +/-1 comprise a one-parameter group and the analytic Toeplitz operators coming from covering maps of annuli centered at the origin whose radii are reciprocals also form a one-parameter group. Using the eigenvectors of the composition operators and of the adjoints of the Toeplitz operators, a direct unitary equivalence is found between the restrictions to zH(2) of the group of Toeplitz operators and the group of adjoints of these composition operators. On the other hand, it is shown that there is not a unitary equivalence of the groups of Toeplitz operators and the adjoints of the composition operators on the whole of H(2), but there is a similarity between themengjournal articlehttps//doi.org/10.1016/j.jfa.2011.07.005http://www.sciencedirect.com/science/article/pii/S0022123611002588restricted access517Composition operatorToeplitz operatorSubnormal operatorUnitary equivalenceAnálisis matemático1202 Análisis y Análisis Funcional