Distance and best approximations in operator norm and trace class norm

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Detalles Bibliográficos
Autor principal:	Roy, Saikat
Formato:	Preprint
Publicado:	2025
Materias:	Functional Analysis Primary 46B28, 46B02 Secondary 47L05
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

_version_	1866912381029842944
author	Roy, Saikat
author_facet	Roy, Saikat
contents	We study the best approximation and distance problems in the operator space $\B(\HS)$ and in the space of trace class operators $\LS^1(\B(\HS))$. Formulations of distances are obtained in both cases. The case of finite-dimensional $C^*$-algebras is also considered. The computational advantage of the results is illustrated through examples.
format	Preprint
id	arxiv_https___arxiv_org_abs_2505_12059
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	Distance and best approximations in operator norm and trace class norm Roy, Saikat Functional Analysis Primary 46B28, 46B02 Secondary 47L05 We study the best approximation and distance problems in the operator space $\B(\HS)$ and in the space of trace class operators $\LS^1(\B(\HS))$. Formulations of distances are obtained in both cases. The case of finite-dimensional $C^*$-algebras is also considered. The computational advantage of the results is illustrated through examples.
title	Distance and best approximations in operator norm and trace class norm
topic	Functional Analysis Primary 46B28, 46B02 Secondary 47L05
url	https://arxiv.org/abs/2505.12059

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