Trace formulas for resolvent comparable operators
type: Item
instance of: scholarly article
title: Trace formulas for resolvent comparable operators
zbMATH Open document ID: 1317.47017
author: Denis Potapov
author: Anna Skripka
author: Fedor Sukochev
published in: Advances in Mathematics
publication date: 2015-01-27T00:00:00Z
review text: In this work, the authors deal with the derivation of trace formulas for self-adjoint perturbations of self-adjoint operators such that the difference of the resolvents of the initial and perturbed operators is an element of a Schatten-von Neumann ideal \(\mathcal{S}^n\), \(n \in \mathbb{N}\). Their results extend previous works for perturbations corresponding to the resolvent difference in the Hilbert-Schmidt class \(\mathcal{S}^2\) and for perturbations in \(\mathcal{S}^n\), \(n \in \mathbb{N}\).
reviewed by: Matheus Cheque Bortolan
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 47A56
Mathematics Subject Classification ID: 47B10
zbMATH DE Number: 6391247
zbMATH Keywords: trace formula
zbMATH Keywords: multiple operator integral
MaRDI profile type: Publication
full work available at URL: j.aim.2014.12.016
OpenAlex ID: W2020243153
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DOI: 10.1016/J.AIM.2014.12.016
description: scientific article; zbMATH DE number 6391247