Linear sums of two composition operators on the Fock space

被引：31

作者：

Choe, Boo Rim ^{[1
]}

Izuchi, Kou Hei ^{[2
]}

Koo, Hyungwoon ^{[1
]}

机构：

[1] Korea Univ, Dept Math, Seoul 136713, South Korea

[2] Korea Univ, Inst Basic Sci, Seoul 136713, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 369卷 / 01期

关键词：

Linear sum; Composition operator; Fock space;

D O I：

10.1016/j.jmaa.2010.02.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Linear sums of two composition operators of the multi-dimensional Fock space are studied. We show that such an operator is bounded only when both composition operators in the sum are bounded. So, cancelation phenomenon is not possible on the Fock space, in contrast to what have been known on other well-known function spaces over the unit disk. We also show the analogues for compactness and for membership in the Schatten classes. For linear sums of more than two composition operators the investigation is left open. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：112 / 119

页数：8

共 24 条

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[2]

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