Affiliation:
1. Catholic University of Rio de Janeiro , Rio de Janeiro , , Brazil
Abstract
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.
Subject
Applied Mathematics,Analysis
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