Coincidence of Schur multipliers of the Drury-Arveson space

被引：0

作者：

Bhattacharya, Angshuman ^{[1
]}

Bhattacharyya, Tirthankar ^{[1
]}

机构：

[1] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India

来源：

ACTA SCIENTIARUM MATHEMATICARUM | 2012年 / 78卷 / 1-2期

关键词：

weakly coisometric realizations; Schur class; Drury-Arveson space; de Branges-Rovnyak space;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a purely multi-variable setting (i.e., the issues discussed in this note are not interesting in the single-variable operator theory setting), we show that the coincidence of two operator-valued Schur class multipliers of a certain kind on the Drury-Arveson space is characterized by the fact that the associated colligations (or a variant, obtained canonically) are 'unitarily coincident' in a sense to be made precise in this article.

引用

页码：265 / 277

页数：13

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