Interpolating between the arithmetic-geometric mean and Cauchy-Schwarz matrix norm inequalities

Koenraad Audenaert

doi:10.7153/oam-09-29

Interpolating between the arithmetic-geometric mean and Cauchy-Schwarz matrix norm inequalities

Koenraad Audenaert

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Abstract

We prove an inequality for unitarily invariant norms that interpolates between the
Arithmetic-Geometric Mean inequality and the Cauchy-Schwarz inequality.

Original language	English
Pages (from-to)	475–479
Number of pages	5
Journal	Operators and Matrices
Volume	9
Issue number	2
DOIs	https://doi.org/10.7153/oam-09-29
Publication status	Published - 1 Jun 2015

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10.7153/oam-09-29

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http://oam.ele-math.com/09-29/Interpolating-between-the-arithmetic-geometric-mean-and-Cauchy-Schwarz-matrix-norm-inequalities

Cite this

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title = "Interpolating between the arithmetic-geometric mean and Cauchy-Schwarz matrix norm inequalities",

abstract = "We prove an inequality for unitarily invariant norms that interpolates between theArithmetic-Geometric Mean inequality and the Cauchy-Schwarz inequality.",

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