IDEALS IN A MULTIPLIER ALGEBRA ON THE BALL

被引：5

作者：

Clouatre, Raphael ^{[1
]}

Davidson, Kenneth R. ^{[2
]}

机构：

[1] Univ Manitoba, Dept Math, 186 Dysart Rd, Winnipeg, MB R3T 2N2, Canada

[2] Univ Waterloo, Dept Pure Math, 200 Univ Ave West, Waterloo, ON N2L 3G1, Canada

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 370卷 / 03期

关键词：

Ideals; zero sets; ball algebra; multipliers; Drury-Arveson space; INVARIANT SUBSPACES; SPACES;

D O I：

10.1090/tran/7007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the ideals of the closure of the polynomial multipliers on the Drury-Arveson space. Structural results are obtained by investigating the relation between an ideal and its weak-* closure, much in the spirit of the corresponding classical facts for the disc algebra. Zero sets for multipliers are also considered and are deeply intertwined with the structure of ideals. Our approach is primarily based on duality arguments.

引用

页码：1509 / 1527

页数：19

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