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Dilations, linear matrix inequalities, the matrix cube problem, and beta distributions /
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), expresse...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, RI :
American Mathematical Society,
2019.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1232. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Notas: | "January 2019, volume 257, number 1232 (second of 6 numbers)." "Keywords:Dilation, completely positive map, linear matrix inequality, spectrahedron, free spectrahedron, matrix cube problem, binomial distribution, beta distribution, robust stability, free analysis"--Online information |
| Descripción Física: | 1 online resource (v, 106 pages) |
| Bibliografía: | Includes bibliographical references (pages 101-104 and index. |
| ISBN: | 1470449471 9781470449476 |
| ISSN: | 1947-6221 ; 0065-9266 |