Composition Operators on the Bloch space of the Unit Ball of a Hilbert Space
arXiv:1510.01524 · doi:10.1215/17358787-0000005X
Abstract
Every analytic self-map of the unit ball of a Hilbert space induces a bounded composition operator on the space of Bloch functions. Necessary and sufficient conditions for compactness of such composition operators are provided, as well as some examples that clarify the connections among such conditions.
21 pages