ON GENERALIZED SELFADJOINT OPERATORS ON SCALES OF HILBERT SPACES

被引：0

作者：

Berezansky, Yu. M. ^{[1
]}

Brasche, J. ^{[2
]}

Nizhnik, L. P. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, 3 Tereshchenkivska, UA-01601 Kiev, Ukraine

[2] Tech Univ Clausthal, Inst Math, D-38678 Clausthal Zellerfeld, Germany

来源：

METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY | 2011年 / 17卷 / 03期

关键词：

Selfadjoint operators; generalized selfadjoint operators; Hilbert space rigging;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider examples of generalized selfadjoint operators that act from a positive Hilbert space to a negative space. Such operators were introduced and studied in [1]. We give examples of selfadjoint operators on the principal Hilbert space H-0 that, being considered as operators from the positive space H+ subset of H-0 into the negative space H- superset of H-0, are not essentially selfadjoint in the generalized sense.

引用

页码：193 / 198

页数：6

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