Joint Functional Calculus for Definitizable Self-adjoint Operators on Krein Spaces

被引：1

作者：

Kaltenbaeck, Michael ^{[1
]}

Skrepek, Nathanael ^{[2
]}

机构：

[1] Tech Univ Wien, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria

[2] Univ Wuppertal, Siegfriedstr 36, D-42117 Wuppertal, Germany

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2020年 / 92卷 / 04期

关键词：

Krein space; Definitizable operators; Self-adjoint operators; Spectral theorem;

D O I：

10.1007/s00020-020-02588-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present note a spectral theorem for a finite tuple of pairwise commuting, self-adjoint and definitizable bounded linear operators A(1), ... , A(n) on a Krein space is derived by developing a functional calculus phi -> phi (A(1) ,... , A(n)) which is the proper analogue of phi ->integral phi dE in the Hilbert space situation with the common spectral measure E for a finite tuple of pairwise commuting, self-adjoint bounded linear operators.

引用

页数：36

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