Online Library TheLib.net » Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions
cover of the book Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions

Ebook: Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions

00
02.03.2024
0
0
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 $V:mathcal Hto mathcal K$ 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 $dtimes d$ symmetric matrices of operator norm at most one to a collection of commuting self-adjoint contraction operators on a Hilbert space.
Download the book Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions for free or read online
Read Download
Continue reading on any device:
QR code
Last viewed books
Related books
Comments (0)
reload, if the code cannot be seen