Multiplicative Isometries and Isometric Zero-Divisors

被引:22
作者
Aleman, Alexandru [1 ]
Duren, Peter [2 ]
Martin, Maria J. [3 ]
Vukotic, Dragan [3 ,4 ]
机构
[1] Lund Univ, Dept Math, S-22100 Lund, Sweden
[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
[3] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain
[4] Univ Autonoma Madrid, ICMAT CSIC UAM UC3M UCM, E-28049 Madrid, Spain
来源
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2010年 / 62卷 / 05期
关键词
Banach spaces of analytic functions; Hardy spaces; Bergman spaces; Bloch space; Dirichlet space; Dirichlet-type spaces; pointwise multipliers; coefficient multipliers; isometrics; isometric zero-divisors; WEIGHTED BERGMAN SPACES; COMPOSITION OPERATORS; BLOCH SPACE; DIRICHLET SPACE; MULTIPLIERS;
D O I
10.4153/CJM-2010-048-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For some Banach spaces of analytic functions in the unit disk (weighted Bergman spaces, Bloch space, Dirichlet-type spaces), the isometric pointwise multipliers are found to be unimodular constants. As a consequence, it is shown that none of those spaces have isometric zero-divisors. Isometric coefficient multipliers are also investigated.
引用
收藏
页码:961 / 974
页数:14
相关论文
共 14 条