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
收藏
页码：1019 / 1055
页数：37
相关论文
共 50 条
  • [1] FACTORIZED SECTORIAL RELATIONS, THEIR MAXIMAL-SECTORIAL EXTENSIONS, AND FORM SUMS
    Hassi, Seppo
    Sandovici, Adrian
    de Snoo, Henk
    [J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2019, 13 (03): : 538 - 564
  • [2] Abstract boundary conditions for maximal sectorial extensions of sectorial operators
    Arlinskii, Y
    [J]. MATHEMATISCHE NACHRICHTEN, 2000, 209 : 5 - 36
  • [3] On m-Sectorial Extensions of Sectorial Operators
    Arlinskii, Yury
    Popov, Andrey
    [J]. JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2017, 13 (03) : 205 - 241
  • [4] Ultraholomorphic sectorial extensions of Beurling type
    Nenning, David Nicolas
    Rainer, Armin
    Schindl, Gerhard
    [J]. ANNALS OF FUNCTIONAL ANALYSIS, 2021, 12 (03)
  • [5] Ultraholomorphic sectorial extensions of Beurling type
    David Nicolas Nenning
    Armin Rainer
    Gerhard Schindl
    [J]. Annals of Functional Analysis, 2021, 12
  • [6] On functions connected with sectorial operators and their extensions
    Yu. M. Arlinskii
    [J]. Integral Equations and Operator Theory, 1999, 33 : 125 - 152
  • [7] On functions connected with sectorial operators and their extensions
    Arlinskii, YM
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 1999, 33 (02) : 125 - 152
  • [8] Characteristic functions of maximal sectorial operators
    Arlinskii, Y
    [J]. RECENT ADVANCES IN OPERATOR THEORY: ISRAEL GOHBERG ANNIVERSARY VOLUME, 2000, 124 : 89 - 108
  • [9] SECTORIAL EXTENSIONS OF A POSITIVE OPERATOR AND THE CHARACTERISTIC FUNCTION
    DERKACH, VA
    MALAMUD, MM
    TSEKANOVSKII, ER
    [J]. DOKLADY AKADEMII NAUK SSSR, 1988, 298 (03): : 537 - 541
  • [10] Accretive and Sectorial Extensions of Nonnegative Symmetric Operators
    Arlinskii, Yury
    Kovalev, Yury
    Tsekanovskii, Eduard
    [J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2012, 6 (03) : 677 - 718
12345