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(Ebook) Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions by J. William Helton; Igor Klep; Scott McCullough ISBN 9781470449476, 1470449471

  • SKU: EBN-51645006
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4.4

32 reviews
Instant download (eBook) Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions after payment.
Authors:J. William Helton; Igor Klep; Scott McCullough
Pages:118 pages.
Year:2018
Editon:1
Publisher:American Mathematical Society
Language:english
File Size:0.99 MB
Format:pdf
ISBNS:9781470449476, 1470449471
Categories: Ebooks

Product desciption

(Ebook) Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions by J. William Helton; Igor Klep; Scott McCullough ISBN 9781470449476, 1470449471

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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