Trace-Class and Nuclear Operators
Functional Analysis
2022-08-25 v2
Abstract
This paper explores the long journey from projective tensor products of a pair of Banach spaces, passing through the definition of nuclear operators still on the realm of projective tensor products, to the of notion of trace-class operators on a Hilbert space, and shows how and why these concepts (nuclear and trace-class operators, that is) agree in the end.
Cite
@article{arxiv.2204.06954,
title = {Trace-Class and Nuclear Operators},
author = {Carlos S. Kubrusly},
journal= {arXiv preprint arXiv:2204.06954},
year = {2022}
}