All Schatten spaces endowed with the Schur product are Q-algebras

被引：7

作者：

Briet, Jop ^{[1
,2
]}

Buhrman, Harry ^{[1
,2
]}

Lee, Troy ^{[3
]}

Vidick, Thomas ^{[4
]}

机构：

[1] CWI, NL-1098 SJ Amsterdam, Netherlands

[2] Univ Amsterdam, NL-1098 SJ Amsterdam, Netherlands

[3] Ctr Quantum Technol, Singapore 117543, Singapore

[4] Univ Calif Berkeley, Div Comp Sci, Berkeley, CA 94720 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2012年 / 262卷 / 01期

关键词：

Schatten space; Schur product; Banach algebra; Q-algebra; INEQUALITY; OPERATORS; EXTENSIONS;

D O I：

10.1016/j.jfa.2011.09.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the Banach algebra formed by the space of compact operators on a Hilbert space endowed with the Schur product is a quotient of a uniform algebra (also known as a Q-algebra). Together with a similar result of Perez-Garcia for the trace class, this completes the answer to a long-standing question of Varopoulos. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1 / 9

页数：9

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