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Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions, Paperback / softback Book

Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions Paperback / softback

Part of the Memoirs of the American Mathematical Society series

Paperback / softback

Available to Order - This title is available to order, with delivery expected within 2 weeks

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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£71.00

Available to Order - This title is available to order, with delivery expected within 2 weeks
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