Extremal maximal sectorial extensions of sectorial relations

被引：5

作者：

Hassi, S. ^{[1
]}

Sandovici, A. ^{[2
]}

de Snoo, H. S. V. ^{[3
]}

Winkler, H. ^{[4
]}

机构：

[1] Univ Vaasa, Dept Math & Stat, POB 700, Vaasa 65101, Finland

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

[3] Univ Groningen, Johann Bernoulli Inst Math & Comp Sci, POB 407, NL-9700 AK Groningen, Netherlands

[4] Tech Univ Ilmenau, Inst Math, Weimarer Str 25, D-98693 Ilmenau, Germany

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2017年 / 28卷 / 05期

关键词：

Sectorial relation; Friedrichs extension; Krein extension; Extremal maximal sectorial extension; NONNEGATIVE OPERATORS;

D O I：

10.1016/j.indag.2017.07.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The extremal maximal sectorial extensions of a not necessarily densely defined sectorial relation (multivalued linear operator) in a Hilbert space are characterized in terms of a construction which goes back to Sebestyen and Stochel. In particular the two extreme maximal sectorial extensions, namely the Friedrichs extension and the Krein extension, are characterized. For this purpose a survey is given of the connection between closed sectorial forms and maximal sectorial relations. (C) 2017 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

引用

页码：1019 / 1055

页数：37

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