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.

引用

页码：259 / +

页数：2