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
收藏
页码：193 / 198
页数：6
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