Multipliers of elementary operators and comparison of row and column space Schatten \(p\) norms
type: Item
instance of: scholarly article
title: Multipliers of elementary operators and comparison of row and column space Schatten \(p\) norms
zbMATH Open document ID: 1181.47039
author: Danko R. Jocić
published in: Linear Algebra and its Applications
publication date: 2009-10-14T00:00:00Z
review text: Let \(H\) be a separable infinite-dimensional complex Hilbert space. For a symmetric gauge function \(\Phi\), let \(C_\Phi(H)\) be the associated ideal in \(B(H)\). In the paper under review, some estimates for the norm of weighted elementary operators \(\sum_{n=1}^{\infty} C_n Z_n A_n \otimes B_n W_n D_n:~C_\Phi(H) \to C_{\Phi'}(H)\) are given. In particular, the norm of \(\sum_{n=1}^{\infty} C_n Z_n A_n \otimes A_{n}^{*} W_n C_{n}^{*}\) is related to the norms of \(\sum_{n=1}^{\infty}A_n \otimes A_{n}^{*}\) and \(\sum_{n=1}^{\infty}C_n \otimes C_{n}^{*}\).
reviewed by: Janko Bračič
Mathematics Subject Classification ID: 47B49
Mathematics Subject Classification ID: 47B47
Mathematics Subject Classification ID: 47A30
Mathematics Subject Classification ID: 47B10
zbMATH DE Number: 5614884
zbMATH Keywords: Schatten ideals
zbMATH Keywords: norm of an elementary operator
zbMATH Keywords: norm reconvexization
MaRDI profile type: Publication
full work available at URL: j.laa.2009.06.042
OpenAlex ID: W2056856796
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DOI: 10.1016/J.LAA.2009.06.042
description: scientific article; zbMATH DE number 5614884