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Traces on Operator Ideals Defined over the Class of all Banach Spaces and Related Open Problems

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Abstract

My book ”Eigenvalues and s-Numbers” (1987) deals with classical traces of Banach space operators. Now an extension to singular traces is required. Hopefully, this (mostly) self-contained, comprehensive survey will serve that purpose. The second part is devoted to the future of the theory of traces. My mathematical heritage consists in a collection of open problems, which I was unable to solve. Good luck.

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    Albrecht Pietsch

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In loving memory of my wife, Inge    (1934–2021).

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Pietsch, A. Traces on Operator Ideals Defined over the Class of all Banach Spaces and Related Open Problems. Integr. Equ. Oper. Theory 95, 11 (2023). https://doi.org/10.1007/s00020-023-02726-7

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