Generalized Selfadjoint Operators

被引：0

作者：

Ivasiuk, Ivan Ya. ^{[1
]}

机构：

[1] Kyiv Natl Taras Shevchenko Univ, Mech & Math Fac, Dept Math Anal, UA-01033 Kiev, Ukraine

来源：

MODERN ANALYSIS AND APPLICATIONS: MARK KREIN CENTENARY CONFERENCE, VOL 1: OPERATOR THEORY AND RELATED TOPICS | 2009年 / 190卷

关键词：

Selfadjoint operators; generalized selfadjoint operators; Hilbert space rigging;

D O I：

10.1007/978-3-7643-9919-1_19

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An essential problem in mathematical physics is to introduce and investigate operators perturbed by singular perturbations. Such operators are usually introduced with the aid of the theory of selfadjoint extensions of Hermitian operators. Berezansky and Brasche have proposed another viewpoint (see [3]) from which such objects are constructed by using operators in a Hilbert space chain (rigging). My report is concerned with operators that act from a positive space into a negative space of some Hilbert rigging. We investigate the generalized selfadjointness of such operators.

引用

页码：329 / 334

页数：6

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