Von Neumann's theorem for linear relations

被引：10

作者：

Sandovici, Adrian ^{[1
]}

机构：

[1] Gheorghe Asachi Tech Univ Iasi, Dept Math & Informat, Iasi, Romania

来源：

LINEAR & MULTILINEAR ALGEBRA | 2018年 / 66卷 / 09期

关键词：

Hilbert space; closed linear relation; nonnegative linear relation; selfadjoint linear relation; von Neumann theorem; ADJOINT; EXTENSIONS; OPERATORS; SUMS;

D O I：

10.1080/03081087.2017.1369930

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Assume that T is a linear relation acting between two real or complex Hilbert spaces H and K, respectively. T is shown to be closed if and only if the linear relations T * T and TT * are both selfadjoint linear relations on the corresponding Hilbert spaces H and K, respectively.

引用

页码：1750 / 1756

页数：7

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