On numerical diameters and linear maps
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917709466304512 |
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| author | de Beaudrap, Niel Ramsey, Christopher |
| author_facet | de Beaudrap, Niel Ramsey, Christopher |
| contents | This paper studies the diameter of the numerical range of bounded operators on Hilbert space and the induced seminorm, called the numerical diameter, on bounded linear maps between operator systems which is sensible in the case of unital maps and their scalar multiples. It is shown that the completely bounded numerical diameter is a norm that is comparable but not equal to the completely bounded norm. This norm is particularly interesting in the case of unital completely positive maps and their sections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06791 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On numerical diameters and linear maps de Beaudrap, Niel Ramsey, Christopher Functional Analysis Operator Algebras This paper studies the diameter of the numerical range of bounded operators on Hilbert space and the induced seminorm, called the numerical diameter, on bounded linear maps between operator systems which is sensible in the case of unital maps and their scalar multiples. It is shown that the completely bounded numerical diameter is a norm that is comparable but not equal to the completely bounded norm. This norm is particularly interesting in the case of unital completely positive maps and their sections. |
| title | On numerical diameters and linear maps |
| topic | Functional Analysis Operator Algebras |
| url | https://arxiv.org/abs/2402.06791 |