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

引用

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页码：909 / 913

页数：5

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