THE BLOCH SPACE ON THE UNIT BALL OF A HILBERT SPACE: MAXIMALITY AND MULTIPLIERS  

作　　者：Pablo GALINDO Mikael LINDSTRÖM 

机构地区：[1]Departamento de Análisis Matemático,Universidad de Valencia.C/Dr.Moliner 50.46.100,Burjasot,Valencia,Spain [2]Department of Mathematics,Abo Akademi University.FI-20500Åbo,Finland

出　　处：《Acta Mathematica Scientia》2021年第3期899-906,共8页数学物理学报（B辑英文版）

基　　金：partially supported by Spanish MINECO/FEDER PGC2018-094431-B-I00;partially supported by the Academy of Finland Project 296718。

摘　　要：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.

关 键 词：Analytic functions on Hilbert space invariance under automorphisms multiplier 

分 类 号：O177.1[理学—数学]