On the essential spectrum of a class of operators in Hilbert space

被引：15

作者：

Moller, M ^{[1
]}

机构：

[1] Univ Witwatersrand, Dept Math, ZA-2050 Johannesburg, South Africa

来源：

MATHEMATISCHE NACHRICHTEN | 1998年 / 194卷

关键词：

essential spectrum; selfadjoint operator; multiplication operator;

D O I：

10.1002/mana.19981940112

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sufficient conditions are given such that the product T1T2 of two unbounded operators in Hilbert spaces is essentially selfadjoint and that the nonzero numbers in the essential spectrum of the closure of T1T2 coincide with the nonzero numbers in the essential spectrum of T2T1. If the essential spectrum of the closure of T2T1 only consists of zero and M is a bounded operator, then several formulas for the essential spectrum of the closure of T2T1 + M are given.

引用

页码：185 / 196

页数：12

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