The Daugavet equation for polynomials on C*-algebras

被引：4

作者：

Santos, Elisa R. ^{[1
]}

机构：

[1] Univ Fed Uberlandia, Fac Matemat, BR-38408100 Uberlandia, MG, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 409卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

Daugavet equation; Banach spaces; Polynomials; C*-algebras; JB*-triples; PROPERTY; OPERATORS; SPACES; TRIPLES;

D O I：

10.1016/j.jmaa.2013.07.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the Daugavet equation and the alternative Daugavet equation for polynomials on C*-algebras. We study separately the cases in which the C*-algebras are commutative and non-commutative. In these cases, we obtain necessary and sufficient conditions on such C*-algebras in order that certain polynomial classes satisfy the Daugavet equation and the alternative'Daugavet equation. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：598 / 606

页数：9

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