The spectral theorem for locally normal operators

Opuscula Mathematica

Aurelian Gheondea¹ 

关键词: locally Hilbert space;    locally \(C^*\)-algebra;    locally normal operator;    local projection;    locally spectral measure;   

DOI  :  10.7494/OpMath.2018.38.5.597

学科分类：数学（综合）

来源: AGH University of Science and Technology Press

【 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.

【 授权许可】

Free