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A New Approach to Operator Ideals on Hilbert Space and Their Traces

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Abstract

In a series of papers, I developed a new approach to operator ideals on the infinite-dimensional separable Hilbert space and their traces. Step by step, the methods have been improved and generalized. Hence it is now justified to give a mirror polished summary, which is very short and almost self-contained. No knowledge about the classical presentations of operator ideals via symmetric norming functions, symmetric sequence ideals, or characteristic sets is required. This remarkable circumstance may be particularly helpful for those readers who are not interested in the abstract theory but only in applications to pseudo-differential operators and noncommutative geometry.

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References

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  1. Biberweg 7, 07749, Jena, Germany

    Albrecht Pietsch

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  1. Albrecht Pietsch
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Correspondence to Albrecht Pietsch.

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Pietsch, A. A New Approach to Operator Ideals on Hilbert Space and Their Traces. Integr. Equ. Oper. Theory 89, 595–606 (2017). https://doi.org/10.1007/s00020-017-2410-x

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  • DOI: https://doi.org/10.1007/s00020-017-2410-x

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