A note on the functional calculus for unbounded self-adjoint operators

被引：3

作者：

Fitzpatrick, Patrick M. ^{[1
]}

机构：

[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2013年 / 13卷 / 02期

关键词：

Functional calculus; Borel function; self-adjoint operator; Riesz-Lorch theorem; HILBERT-SPACE; TRANSFORMATIONS;

D O I：

10.1007/s11784-013-0139-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two theorems of Riesz and Lorch (1936) are used to pass directly from the functional calculus for bounded symmetric operators to that for unbounded self-adjoint operators, thereby considerably shortening the passage via the spectral resolution for unbounded self-adjoint operators, and making particularly transparent the manner in which properties of the functional calculus for bounded operators are inherited by those which are unbounded.

引用

页码：633 / 640

页数：8

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Riesz, Frederick ;

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[8]

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