arXiv Open Access 2024

On numerical diameters and linear maps

Niel de Beaudrap Christopher Ramsey

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Abstrak

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.

Topik & Kata Kunci

math.FA math.OA

Penulis (2)

Niel de Beaudrap

Christopher Ramsey

Format Sitasi

APA MLA BibTeX

Beaudrap, N.d., Ramsey, C. (2024). On numerical diameters and linear maps. https://arxiv.org/abs/2402.06791

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓