REGULARIZED TRACE FORMULA FOR DISCRETE OPERATORS WITH A PERTURBATION IN THE SCHATTEN-VON NEUMANN CLASS

被引：2
|
作者：
Murtazin, Kh. Kh. [1 ]
Fazullin, Z. Yu. [1 ]
机构：
[1] Bashkir State Univ, Zaki Validi Str 32, Ufa 450074, Russia
来源：
UFA MATHEMATICAL JOURNAL | 2015年 / 7卷 / 04期
关键词：
perturbation theory; regularized trace; discrete operator; spectrum; resolvent;
D O I：
10.13108/2015-7-4-104
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper we study a regularized trace formula for discrete self-adjoint operators with a perturbation in Schatten-von Neumann class (sigma(p), p is an element of N). We prove that the regularized trace vanishes after deducting (p - 1) terms of perturbation theory if there are no dilating gaps in the spectrum of the unperturbed operator.
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页码：104 / 110
页数：7
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