Functional Calculus for Definitizable Self-adjoint Linear Relations on Krein Spaces

被引：4

作者：

Kaltenbaeck, Michael

Pruckner, Raphael

机构：

[1] Wiedner Hauptstr. 8-10, Wien

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2015年 / 83卷 / 04期

基金：

奥地利科学基金会; 俄罗斯基础研究基金会;

关键词：

Krein space; Definitizable linear relations; Spectral theorem; OPERATORS;

D O I：

10.1007/s00020-015-2262-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present note a functional calculus for self-adjoint definitizable linear relations on Krein spaces is developed. This functional calculus is the proper analogue of in the Hilbert space situation where is a bounded and measurable function on and is defined in the weak sense. The derived functional calculus also comprises the Spectral Theorem for self-adjoint definitizable operators on Krein spaces showing the existence of spectral projections.

引用

页码：451 / 482

页数：32

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