Functions of unitary operators: Derivatives and trace formulas

被引：7
|
作者：
Potapov, Denis [1 ]
Skripka, Anna [2 ]
Sukochev, Fedor [1 ]
机构：
[1] Univ New S Wales, Sch Math & Stat, Kensington, NSW 2052, Australia
[2] Univ New Mexico, Dept Math & Stat, 400 Yale Blvd NE,MSC01 1115, Albuquerque, NM 87131 USA
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2016年 / 270卷 / 06期
基金：
美国国家科学基金会;
关键词：
Multiple operator integrals; Operator derivatives; SPECTRAL SHIFT FUNCTION; PERTURBATION;
D O I：
10.1016/j.jfa.2016.01.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A be a bounded self-adjoint operator on a separable Hilbert space H and U-0 an arbitrary unitary operator. We derive formulas for higher order derivatives of the function s -> phi(e(isA)U(0)) for sufficiently smooth functions phi. We compare our formulas with earlier results in this area and apply them to establish higher order analogs of trace formulas of Krein-Koplienko-Neidhardt. (C) 2016 Elsevier Inc. All rights reserved.
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页码：2048 / 2072
页数：25
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