Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions Paperback / softback
by J. William Helton, Igor Klep, Scott McCullough, Markus Schweighofer
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
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.
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:104 pages
- Publisher:American Mathematical Society
- Publication Date:30/03/2019
- Category:
- ISBN:9781470434557
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:104 pages
- Publisher:American Mathematical Society
- Publication Date:30/03/2019
- Category:
- ISBN:9781470434557