Trace formulas for relative Schatten class perturbations

被引：3

作者：

Chattopadhyay, Arup ^{[1
]}

Skripka, Anna ^{[2
]}

机构：

[1] Indian Inst Technol Guwahati, Dept Math, Gauhati 781039, Assam, India

[2] Univ New Mexico, Dept Math & Stat, 400 Yale Blvd NE,MSC01 1115, Albuquerque, NM 87131 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2018年 / 274卷 / 12期

基金：

美国国家科学基金会;

关键词：

Relative Schatten class; perturbations; Trace formulas; SPECTRAL SHIFT FUNCTION; OPERATOR INTEGRALS; UNITARY;

D O I：

10.1016/j.jfa.2018.02.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive trace formulas for a pair of self-adjoint operators H + V and H under the assumption that (H-i)(-1V) is in a Schatten class. This extends the trace formulas of [8], where V alone is assumed to be in a Schatten class. Our trace formulas apply, in particular, in the setting of differential operators and are based on Taylor-like approximations of operator functions. This significantly improves non-Taylor based trace formulas of [10]. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：3377 / 3410

页数：34

共 16 条

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