A Jordan-Schwinger Variant of the Spectral Theorem for Linear Operators

2023/04/13 by Bock, Wolfgang, Futorny, Vyacheslav, Neklyudov, Mikhail
#FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2304.06778

Abstract

In this paper we show variant of the spectral theorem using an algebraic Jordan-Schwinger map. The advantage of this approach is that we don't have restriction of normality on the class of operators we consider. On the other side, we have the restriction that the class of operators we consider should be of weighted Hilbert-Schmidt class.

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