The Daugavet equation for operators on function spaces

被引：33

作者：

Werner, D

机构：

[1] I. Mathematisches Institut, Freie Universität Berlin, D-14 195 Berlin

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1997年 / 143卷 / 01期

关键词：

D O I：

10.1006/jfan.1996.2979

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the norm identity parallel to Id+T parallel to=1+parallel to T parallel to, which is known as the Daugavet equation, for weakly compact operators T on natural function spaces such as function algebras and L(1)-predual spaces, provided a non-discreteness assumption is met. We also consider c(0)-factorable operators and operators on C-Lambda-spaces. (C) 1997 Academic Press

引用

页码：117 / 128

页数：12

共 17 条

[1]

Abramovich Y., 1991, J. Oper. Theory, V25, P331

[2] THE DAUGAVET EQUATION IN UNIFORMLY CONVEX BANACH-SPACES [J].