Concrete Operators (May 2022)

Trace-Class and Nuclear Operators

  • Kubrusly Carlos S.

DOI
https://doi.org/10.1515/conop-2022-0127
Journal volume & issue
Vol. 9, no. 1
pp. 53 – 69

Abstract

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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.

Keywords