Numerical radius of bounded operators with \(\ell^p\)-norm
type: Item
instance of: scholarly article
title: Numerical radius of bounded operators with \(\ell^p\)-norm
author: Sadaf Fakri Moghaddam
author: Alireza Kamel Mirmostafaee
published in: Tatra Mountains Mathematical Publications
publication date: 2022-12-01T00:00:00Z
review text: The authors consider a direct sum of Hilbert spaces \(H\) endowed with a \(p\)-norm, \(1\leq p\leq \infty\), and then introduce for a bounded linear operator \(T\) on \(H\) a set \(W_p(T)\) which they call ``numerical range''. Then they show that many properties known for the classical numerical range of a bounded linear operator in a Hilbert space carry over to \(W_p(T)\). Some of the properties depend on \(p\).
reviewed by: Agnes Radl
Mathematics Subject Classification ID: 47A12
Mathematics Subject Classification ID: 47A30
zbMATH DE Number: 7625860
zbMATH Keywords: numerical radius
zbMATH Keywords: inner product
zbMATH Keywords: \(\ell^p\)-sum
zbMATH Keywords: direct sum of a family of Hilbert spaces
MaRDI profile type: Publication
full work available at URL: tmmp-2022-0012
OpenAlex ID: W4310282520
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cites work: Q3997462
cites work: Q4720052
DOI: 10.2478/TMMP-2022-0012
description: scientific article; zbMATH DE number 7625860