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A NOTE ON GATEAUX DIFFERENTIALS OF HERMITIAN ELEMENTS IN BANACH ALGEBRAS

被引：0
|
作者：
Herzog, Gerd [1 ]
Schmoeger, Christoph [1 ]
机构：
[1] Univ Karlsruhe TH, Inst Anal, Englerstr 2, D-76128 Karlsruhe, Germany
来源：
DEMONSTRATIO MATHEMATICA | 2008年 / 41卷 / 04期
关键词：
numerical range; hermitian element;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A be a complex unital Banach algebra with unit 1. If a epsilon A is hermitian then we show that parallel to a parallel to(2) = lim t(-1)(parallel to 1 + ta(2)parallel to - 1) and we give a proof of an inequality due to J. nieto
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收藏
页码：909 / 913
页数：5
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