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Trace-Class and Nuclear Operators
Published 14 Apr 2022 in math.FA | (2204.06954v2)
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.
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