Oscar Blasco, Pablo Galindo, Mikael Lindström, Alejandro Miralles
Published 2015-10-06Version 1
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.
Isometries and spectra of multiplication operators on the Bloch space
Linear maps on factors which preserve the extreme points of the unit ball
The unit ball of the predual of $H^\infty(\mathbb{B}_d)$ has no extreme points
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