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Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions (Memoirs of the American Mathematical Society)

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About the Author J. William Helton, University of California, San Diego, California.Igor Klep, The University of Auckland, New Zealand.Scott McCullough, University of Florida, Gainesville, Florida.Markus Schweighofer, Universitat Konstanz, Germany. Product Description An operator $C$ on a Hilbert space $\mathcal H$ dilates to an operator $T$ on a Hilbert space $\mathcal K$ if there is an isometry $V:\mathcal H\to \mathcal K$ such that $C= V^* TV$. A main result of this paper is, for a positive integer $d$, the simultaneous dilation, up to a sharp factor $\vartheta (d)$, expressed as a ratio of $\Gamma $ functions for $d$ even, of all $d\times d$ symmetric matrices of operator norm at most one to a collection of commuting self-adjoint contraction operators on a Hilbert space.

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Format: Paperback
ASIN: 1470434555
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Release Date: 30 March 2019
Listed Since: 25 September 2018

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Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions (Memoirs of the American Mathematical Society)

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