Self-adjointness and skew-adjointness criteria involving powers of linear relations

被引：5

作者：

Sandovici, Adrian ^{[1
]}

机构：

[1] Gheorghe Asachi Tech Univ Iasi, Dept Math & Informat, B Dul Carol 1,Nr 11, Iasi 700506, Romania

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 470卷 / 01期

关键词：

Hilbert space; Symmetric linear relation; Nonnegative linear relation; Selfadjoint linear relation; Skew-symmetric linear relation; Skew-adjoint linear relation; DIRAC STRUCTURES; EXTENSIONS; OPERATORS; SUMS;

D O I：

10.1016/j.jmaa.2018.09.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main objective of this paper is to provide range-type criteria for the self-adjointness of symmetric linear relations and for the skew-adjointness of skew-symmetric linear relations in real or complex Hilbert spaces, respectively. These range-type criteria involve powers of linear relations. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：186 / 200

页数：15

共 24 条

[1] On the Stability of Self-Adjointness of Linear Relations
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[2] A range matrix-type criterion for the self-adjointness of symmetric linear relations
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[3] A range matrix-type criterion for the self-adjointness of symmetric linear relations
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Acta Mathematica Hungarica, 2019, 158 : 27 - 35
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[9] Self adjointness criteria for operator algebras
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