RT Journal Article
T1 Unitary equivalence of one-parameter groups of Toeplitz and composition operators
A1 Gallardo Gutiérrez, Eva Antonia
A1 Cowen, Carl C.
AB The 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 them
PB Elsevier
SN 0022-1236
YR 2011
FD 2011
LK https://hdl.handle.net/20.500.14352/43773
UL https://hdl.handle.net/20.500.14352/43773
LA eng
NO Cowen, 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.
NO Plan Nacional I+D grant
NO Gobierno de Aragon research group Analisis Matematico y Aplicaciones
NO Instituto Universitario de Matemáticas y Aplicaciones
DS Docta Complutense
RD 11 abr 2025