Title
A distance between bounded linear operators
Date Issued
01 October 2020
Access level
metadata only access
Resource Type
journal article
Author(s)
Publisher(s)
Elsevier B.V.
Abstract
We extend the classical Banach-Mazur distance [3] from Banach spaces to linear operators between these spaces. We prove in the finite dimensional case that the corresponding topology is metrizable, complete, separable and locally compact. Furthermore, we prove that the Banach-Mazur compactum embeds isometrically into the resulting topological space.
Volume
284
Language
English
OCDE Knowledge area
Matemáticas aplicadas
Subjects
Scopus EID
2-s2.0-85089699695
Source
Topology and its Applications
ISSN of the container
01668641
Sponsor(s)
R. Metzger was partially supported by Fondecyt-Peru CG 176-2015 and 100-2018. C.A. Morales was partially supported by CNPq-Brazil and the NRF Brain Pool Grant funded by the Korea government 2018H1D3A2001632. H. Villavicencio was partially supported by Fondecyt-Concytec contract 100-2018. W. Jung was partially supported by Chungnam National University and Konyang University Hospital.
Sources of information:
Directorio de Producción Científica
Scopus