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

作     者：Pablo GALINDO Mikael LINDSTRÖM Pablo GALINDO;Mikael LINDSTR?M

作者机构：Departamento de Análisis MatemáticoUniversidad de Valencia.C/Dr.Moliner 50.46.100BurjasotValenciaSpain Department of MathematicsAbo Akademi University.FI-20500ÅboFinland 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2021年第41卷第3期

页      面：899-906页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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

主　　题：Analytic functions on Hilbert space invariance under automorphisms multiplier 

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.