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| Main Author: | |
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| Format: | Preprint |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1811.06005 |
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| _version_ | 1866910560525746176 |
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| author | Dritschel, Michael A. |
| author_facet | Dritschel, Michael A. |
| contents | It is shown using Schur complement techniques that on finite dimensional Hilbert spaces, a non-negative operator valued trigonometric polynomial in two variables with degree $(d_1,d_2)$ can be written as a finite sum of hermitian squares of at most $2d_2$ analytic polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1811_06005 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Factoring Non-negative Operator Valued Trigonometric Polynomials in Two Variables Dritschel, Michael A. Functional Analysis 47A68 (Primary), 60G25, 47A56, 47B35, 42A05, 32A70, 30E99 (Secondary) It is shown using Schur complement techniques that on finite dimensional Hilbert spaces, a non-negative operator valued trigonometric polynomial in two variables with degree $(d_1,d_2)$ can be written as a finite sum of hermitian squares of at most $2d_2$ analytic polynomials. |
| title | Factoring Non-negative Operator Valued Trigonometric Polynomials in Two Variables |
| topic | Functional Analysis 47A68 (Primary), 60G25, 47A56, 47B35, 42A05, 32A70, 30E99 (Secondary) |
| url | https://arxiv.org/abs/1811.06005 |