Interpolation norms between row and column spaces and the norm problem for elementary operators
type: Item
instance of: scholarly article
title: Interpolation norms between row and column spaces and the norm problem for elementary operators
zbMATH Open document ID: 1179.47034
author: Danko R. Jocić
published in: Linear Algebra and its Applications
publication date: 2009-06-04T00:00:00Z
review text: The paper considers estimates for the norm of elementary operators in the non-discrete case. More exactly, the author considers the transformers acting as \(X \to \int_{\Omega} \mathcal{A}_{t} X \mathcal{B}_t \,d\mu (t)\) on the space of bounded Hilbert space operators. He gives formulae for the norm on the Hilbert-Schmidt class and presents some estimates of the norm on the other Schatten classes. For further estimates of the norm in the non discrete case, see \textit{D.\,R.\thinspace Jocić} [J.~London Math.\ Soc.\ 60, 925--934 (1999; Zbl 0949.47030) and J.~Funct.\ Anal.\ 218, 318--346 (2005; Zbl 1083.46024)].
reviewed by: Nadia Boudi
Mathematics Subject Classification ID: 47B47
Mathematics Subject Classification ID: 47B49
Mathematics Subject Classification ID: 46B70
Mathematics Subject Classification ID: 46E40
Mathematics Subject Classification ID: 47A30
Mathematics Subject Classification ID: 47A63
zbMATH DE Number: 5561704
zbMATH Keywords: transformer norms and spaces
zbMATH Keywords: interpolation norms
zbMATH Keywords: Schatten ideals
MaRDI profile type: Publication
full work available at URL: j.laa.2009.01.011
OpenAlex ID: W1970395178
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DOI: 10.1016/J.LAA.2009.01.011
description: scientific article; zbMATH DE number 5561704