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In this work, cyclic Blaschke products for composition operators induced by disc automorphisms axe studied. In particular, we obtain interpolating Blaschke products that axe cyclic for nonelliptic automorphisms and we obtain a new characterizati[...]texto impreso
A remarkable result by Nordgren, Rosenthal and Wintrobe states that a positive answer to the Invariant Subspace Problem is equivalent to the statement that any minimal invariant subspace for a composition operator C phi, induced by a hyperbolic [...]texto impreso
Motivated by the Invariant Subspace Problem, we describe explicitly the closed subspace H-2 generated by the limit points in the H-2 norm of the orbit of a thin Blaschke product B under composition operators C-phi, induced by non-elliptic automo[...]
