PARAMETRIZATION OF SCALE-INVARIANT SELF-ADJOINT EXTENSIONS OF SCALE-INVARIANT SYMMETRIC OPERATORS

被引：0

作者：

Bekker, Miron B. ^{[1
]}

Bohner, Martin J. ^{[2
]}

Ugol'nikov, Alexander P. ^{[3
]}

Voulov, Hristo ^{[4
]}

机构：

[1] Univ Pittsburgh, Dept Math, Johnstown, PA 15902 USA

[2] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO USA

[3] Odessa Natl Acad Food Technol, Dept Math, Odessa, Ukraine

[4] Univ Missouri, Dept Math & Stat, Kansas City, MO 64110 USA

来源：

METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY | 2018年 / 24卷 / 01期

关键词：

Symmetric operator; scale-invariant operator; self-adjoint extension; generalized resolvents;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On a Hilbert space H, we consider a symmetric scale-invariant operator with equal defect numbers. It is assumed that the operator has at least one scale-invariant self-adjoint extension in H. We prove that there is a one-to-one correspondence between (generalized) resolvents of scale-invariant extensions and solutions of some functional equation. Two examples of Dirac-type operators are considered.

引用

页码：1 / 15

页数：15

共 31 条

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