Vector norm inequalities for power series of operators in Hilbert spaces
type: Item
instance of: scholarly article
title: Vector norm inequalities for power series of operators in Hilbert spaces
zbMATH Open document ID: 1320.47013
author: Yong-Cai Geng
author: Sumit K. Garg
published in: Tbilisi Mathematical Journal
publication date: 2015-01-26T00:00:00Z
full work available at URL: http://hdl.handle.net/10722/210735
review text: Vector norm inequalities for power series of operators in Hilbert spaces are highlighted. The authors deal with vector norm inequalities that provide upper bounds for the Lipschitz quantity \(\|f(T)x-f(V)x\|\) for power series \(f(z)= \sum^{\infty}_{n = 0} a_{n}z^{n}\), bounded linear operators \(T, V\) on the Hilbert space \(H\), and vectors \(x\in H \). Earlier works on Hermite-Hadamard type inequalities are discussed. Appropriate applications and examples for elementary functions of interest are mentioned.
reviewed by: V. Lokesha
Mathematics Subject Classification ID: 47A63
zbMATH DE Number: 6390495
zbMATH Keywords: bounded linear operators
zbMATH Keywords: Hilbert spaces
zbMATH Keywords: functions of operators
zbMATH Keywords: power series
zbMATH Keywords: Hermite-Hadamard type inequalities
MaRDI profile type: Publication
OpenAlex ID: W1992767076
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DOI: 10.2478/TMJ-2014-0013
description: scientific article; zbMATH DE number 6390495