THE SPECTRAL THEOREM FOR LOCALLY NORMAL OPERATORS

被引：1

作者：

Gheondea, Aurelian ^{[1
,2
]}

机构：

[1] Bilkent Univ, Dept Math, TR-06800 Ankara, Turkey

[2] Acad Romane, Inst Matemat, CP 1-764, Bucharest 014700, Romania

来源：

OPUSCULA MATHEMATICA | 2018年 / 38卷 / 05期

关键词：

locally Hilbert space; locally C*-algebra; locally normal operator; local projection; locally spectral measure;

D O I：

10.7494/OpMath.2018.38.5.597

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the spectral theorem for locally normal operators in terms of a locally spectral measure. In order to do this, we first obtain some characterisations of local projections and we single out and investigate the concept of a locally spectral measure.

引用

页码：597 / 621

页数：25

共 50 条

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