Young's inequality in trace-class operators
type: Item
instance of: scholarly article
title: Young's inequality in trace-class operators
zbMATH Open document ID: 1037.47012
author: Martín Argerami
author: Douglas Farenick
published in: Mathematische Annalen
publication date: 2003-07-01T00:00:00Z
review text: The classical Young inequality for complex numbers has been formulated for matrices and compact operators by \textit{T. Ando} [Oper. Theory, Adv. Appl. 75, 33--38 (1994; Zbl 0830.47010)] and \textit{J. Erlijman, D. R. Farenick} and \textit{R. Y. Zeng} [ibid. 130, 171--184 (2001; Zbl 1031.47013)], respectively. The characterization of the case of equality in the operator Young inequality for the Hilbert-Schmidt norm has been given by \textit{O. Hirzallah} and the reviewer [Linear Algebra Appl. 308, 77--84 (2000; Zbl 0957.15018)]. In this interesting paper, the authors characterize the case of equality in the operator Young inequality for the trace norm.
reviewed by: Fuad Kittaneh
Mathematics Subject Classification ID: 47A63
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 47B10
Mathematics Subject Classification ID: 47B15
zbMATH DE Number: 1944291
zbMATH Keywords: operator Young inequality
zbMATH Keywords: equality
zbMATH Keywords: trace norm
MaRDI profile type: Publication
full work available at URL: s00208-002-0400-y
OpenAlex ID: W2095638531
DOI: 10.1007/S00208-002-0400-Y
description: scientific article; zbMATH DE number 1944291