We prove that, as in the finite dimensional case, the space of Bloch functions on the unit ball of a Hilbert space contains, under very mild conditions, any semi-Banach space of analytic functions invariant under automorphisms. The multipliers for such Bloch space are characterized and some of their spectral properties are described.
Pablo GALINDO
,
Mikael LINDSTRÖM
. THE BLOCH SPACE ON THE UNIT BALL OF A HILBERT SPACE: MAXIMALITY AND MULTIPLIERS[J]. Acta mathematica scientia, Series B, 2021
, 41(3)
: 899
-906
.
DOI: 10.1007/s10473-021-0316-9
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