On Norms in Indefinite Inner Product Spaces

被引：0
|
作者：
Langer, Matthias [1 ]
Luger, Annemarie [2 ]
机构：
[1] Univ Strathclyde, Dept Math & Stat, 26 Richmond St, Glasgow G1 1XH, Lanark, Scotland
[2] Lund Inst Technol, Dept Math, SE-221 00 Lund, Sweden
来源：
RECENT ADVANCES IN OPERATOR THEORY IN HILBERT AND KREIN SPACES | 2010年 / 198卷
基金：
英国工程与自然科学研究理事会;
关键词：
Krein space; Pontryagin space; indefinite inner product;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In a Krein space various norms can be defined by choosing different underlying fundamental decompositions. In this note we consider this dependence explicitly and draw the conclusion that - even in a Pontryagin space - there does not exist a natural choice motivated by minimizing properties.
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页码：259 / +
页数：2
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