A note on causality in Banach spaces

被引：4
|
作者：
Waurick, Marcus [1 ]
机构：
[1] Tech Univ Dresden, Inst Anal Fachrichtung Math, Dresden, Germany
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2015年 / 26卷 / 02期
关键词：
Causality; Evolutionary equations; Resolution space; GRAPHS;
D O I：
10.1016/j.indag.2014.12.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note we provide examples that show that a common notion of causality for linear operators on Banach spaces does not carry over to the closure of the respective operators. We provide an alternative definition for causality, which is equivalent to the usual definition for closed linear operators but does carry over to the closure. (C) 2015 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
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页码：404 / 412
页数：9
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