Generalized Daugavet equations and invertible operators on uniformly convex Banach spaces
type: Item
instance of: scholarly article
title: Generalized Daugavet equations and invertible operators on uniformly convex Banach spaces
zbMATH Open document ID: 0867.47014
author: Yanyan Li
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-08-11T00:00:00Z
review text: The author introduces and investigates a generalized Daugavet equation \(|I+S+T|=1+|S|+|T|\) for operators \(S,T\) in a uniform convex Banach space. This extends the Daugavet equation \(|I+S|=1+|S|\). The author gives several characterizations for a couple \(S,T\) to be a solution of the generalized Daugavet equation. For instance, this is equivalent to the fact that the operator \((|S|+|T|)I-(S+T)\) is not invertible.
reviewed by: Florian-Horia Vasilescu
Mathematics Subject Classification ID: 47A62
Mathematics Subject Classification ID: 47B38
zbMATH DE Number: 902456
zbMATH Keywords: generalized Daugavet equation
MaRDI profile type: Publication
full work available at URL: jmaa.1996.0036
OpenAlex ID: W2082872533
DOI: 10.1006/JMAA.1996.0036
description: scientific article; zbMATH DE number 902456