The spectral shift function for certain block operator matrices

被引：0

作者：

Adamjan, V

Langer, H

机构：

[1] Odessa State Univ, Dept Theoret Phys, UA-701000 Odessa, Ukraine

[2] Vienna Tech Univ, Inst Anal & Tech Math, A-1040 Vienna, Austria

来源：

MATHEMATISCHE NACHRICHTEN | 2000年 / 211卷

关键词：

spectral shift function; block operator matrix; trace class operator; perturbation determinant;

D O I：

10.1002/(SICI)1522-2616(200003)211:1<5::AID-MANA5>3.3.CO;2-L

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let L-0 be a 2 x 2 diagonal self- adjoint block operator matrix with entries A and D. If operators B and B* are added to the off diagonal zeros, certain parts of the spectrum of L-0 move to the right and other parts move to the left. In this paper it is shown that, correspondingly, if B is a trace class operator M. G. Krein's spectral shift function is of constant sign on certain intervals.

引用

页码：5 / 24

页数：20

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