Σ-completeness and closed graph theorems.
On completely continuous maps from locally convex spaces to l.
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.
Complemented copies of c in vector-valued Köthe-Dieudonné function spaces.
Let [Lambda] be a barrelled perfect (in the sense of J. Dieudonné) Köthe space of measurable functions defined on an atomless finite Radon measure space. Let X be a Banach space containing a copy of c0, then the space [Lambda(X)] of [Lambda]-Bochner integrable functions contains a complemented copy of c0.
Pluripotential theory, semigroups and boundary behavior of infinitesimal generators in strongly convex domains
Aleksandrov-Clark measures and semigroups of analytic functions in the unit disc.
Fixed points and boundary behaviour of the Koenigs function.
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