A note on the arithmetic-geometric mean inequality for every unitarily invariant matrix norm
type: Item
instance of: scholarly article
title: A note on the arithmetic-geometric mean inequality for every unitarily invariant matrix norm
zbMATH Open document ID: 0806.15017
DOI: 10.1016/0024-3795(94)90439-1
author: Takayuki Furuta
published in: Linear Algebra and its Applications
publication date: 1995-02-13T00:00:00Z
review text: The author proves that ten unitarily invariant matrix norm inequalities, including the Heinz inequality, are equivalent to each other.
Mathematics Subject Classification ID: 15A45
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 665785
zbMATH Keywords: arithmetic-geometric mean inequality
zbMATH Keywords: matrix norm inequalities
zbMATH Keywords: Heinz inequality
reviewed by: József Szilasi
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)90439-1
OpenAlex ID: W2059708753
cites work: Note on a Theorem of Fuglede and Putnam
cites work: More Matrix Forms of the Arithmetic-Geometric Mean Inequality
cites work: An operator inequality
cites work: Norm Inequalities Equivalent to Heinz Inequality
cites work: Beiträge zur Störungstheorie der Spektralzerlegung
cites work: A note on the arithmetic-geometric-mean inequality for matrices
description: scientific article; zbMATH DE number 665785