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.
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页码：1750 / 1756
页数：7
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