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Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions (Paperback) Loot Price: R2,106

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Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions (Paperback): J.William Helton, Igor Klep,...

Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions (Paperback)

J.William Helton, Igor Klep, Scott McCullough, Markus Schweighofer

Series: Memoirs of the American Mathematical Society

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List price ~~R2,318~~ Loot Price R2,106 Discovery Miles 21 060 | Repayment Terms: R197 pm x 12* You Save R212 (9%)

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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.

General

Imprint:	American Mathematical Society
Country of origin:	United States
Series:	Memoirs of the American Mathematical Society
Release date:	December 2018
Authors:	J.William Helton • Igor Klep • Scott McCullough • Markus Schweighofer
Dimensions:	254 x 178mm (L x W)
Format:	Paperback
Pages:	104
ISBN-13:	978-1-4704-3455-7
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > General Promotions
LSN:	1-4704-3455-5
Barcode:	9781470434557