Functions of unitary operators: Derivatives and trace formulas

被引：8

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.

引用

页码：2048 / 2072

页数：25

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