Trotter--Kato product formula and fractional powers of self-adjoint generators.
type: Item
instance of: scholarly article
title: Trotter--Kato product formula and fractional powers of self-adjoint generators.
zbMATH Open document ID: 1066.47038
DOI: 10.1016/S0022-1236(03)00177-0
author: Hagen Neidhardt
author: Takashi Ichinose
author: V. A. Zagrebnov
published in: Journal of Functional Analysis
publication date: 2004-03-29T00:00:00Z
review text: The authors continue their study of the Trotter-Kato product formula. They show that under some relaxed conditions, the symmetric and non-symmetric Trotter-Kato product formula converge in the operator norm. Also, the (same) optimal error bound is determined. The same results are valid if one replaces the exponential function in the product by functions of the Kato class.
Mathematics Subject Classification ID: 47D03
zbMATH DE Number: 2062722
zbMATH Keywords: Trotter-Kato product formula
zbMATH Keywords: operator norm convergence
zbMATH Keywords: fractional powers
reviewed by: Cătălin Badea
MaRDI profile type: Publication
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full work available at URL: s0022-1236(03)00177-0
OpenAlex ID: W1965107561
description: scientific article; zbMATH DE number 2062722