Finitely generated ideals in the Banach algebra H∞.
Finitely Generated Prime Ideals in H? and A (ID).
Fractional iteration in the disk algebra: prime ends and composition operators.
In this paper we characterize the semigroups of analytic functions in the unit disk which lead to semigroups of operators in the disk algebra. These characterizations involve analytic as well as geometric aspects of the iterates and they are strongly related to the classical theorem of Carathéodory about local connection and boundary behaviour of univalent functions.
Funciones unimodulares y acotación uniforme.
In this paper we study the role that unimodular functions play in deciding the uniform boundedness of sets of continuous linear functionals on various function spaces. For instance, inner functions are a UBD-set in H∞ with the weak-star topology.
Functions in the space at boundary points of the interior.