An estimate for Schur multipliers in \(S_ p\)-classes
type: Item
instance of: scholarly article
title: An estimate for Schur multipliers in \(S_ p\)-classes
zbMATH Open document ID: 0806.15020
DOI: 10.1016/0024-3795(94)90430-8
published in: Linear Algebra and its Applications
publication date: 1994-11-23T00:00:00Z
review text: It is proved that \(\| A \circ X \|_ p \leq \| A \|_{\ell_ \infty (\ell_ r)} \| X \|_ p\) if \(r\) is at least 2, \(| 1/p - 1/2 | \leq 1/r\), where \(A \circ X\) is the entrywise product of the infinite matrices \(A\) and \(X\), so that \(A\) is viewed as a Schur multiplier, and this bounds its norm.
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 665776
zbMATH Keywords: norm estimate
zbMATH Keywords: infinite matrices
zbMATH Keywords: Schur multiplier
author: Victor Olevskii
author: Michael Solomyak
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)90430-8
OpenAlex ID: W1984057113
cites work: Induced norms of the Schur multiplier operator
cites work: Q4112938
cites work: Q5543770
cites work: Q5566786
cites work: Q4767815
cites work: ESTIMATES OF SINGULAR NUMBERS OF INTEGRAL OPERATORS
cites work: Intermediate spaces and interpolation, the complex method
cites work: Interpolation zwischen den Klassen 𝔖p von Operatoren in Hilberträumen
cites work: Q5590313
cites work: Q3719297
cites work: Q5812325
cites work: On the Schur multiplier norm of matrices
cites work: Hankel operators in the perturbation theory of unitary and self-adjoint operators
cites work: Schur products and matrix completions
cites work: Q4169289
description: scientific article; zbMATH DE number 665776