Sur la mesure d'une somme vectorielle
Interpolation in Hilbert spaces of analytic functions
Separability of orbits of functions on locally compact groups
On eigenvectors of compact contractions acting in linear metric spaces
The space of bounded analytic functions on a region
L’espace des fonctions analytiques bornées sur une région peut être muni de plusieurs topologies différentes. Deux topologies faibles sont étudiées ici. L’une est celle appelée topologie stricte et l’autre la topologie faible étoilée. Le principal outil nouveau est une espèce de balayage ou ramonage.
Cyclic vectors and invariant subspaces for the backward shift operator
The operator of multiplication by on the Hardy space of square summable power series has been studied by many authors. In this paper we make a similar study of the adjoint operator (the “backward shift”). Let denote the cyclic subspace generated by , that is, the smallest closed subspace of that contains . If , then is called a cyclic vector for . Theorem : is a cyclic vector if and only if there is a function , meromorphic and of bounded Nevanlinna characteristic...
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