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Resolution of a problem by Simon concerning Schrödinger operators via methods from noncommutative geometry

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Abstract

We resolve an open problem due to B. Simon [7] concerning certain Cwikel-type estimates for Schrödinger operators. We provide a negative resolution already for the case of Laplacian.

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Authors and Affiliations

  1. School of Mathematics and Statistics, University of New South Wales, Kensington, 2052, NSW, Australia

    Fedor Sukochev & Dmitriy Zanin

Authors
  1. Fedor Sukochev
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  2. Dmitriy Zanin
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Correspondence to Fedor Sukochev.

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Sukochev, F., Zanin, D. Resolution of a problem by Simon concerning Schrödinger operators via methods from noncommutative geometry. JAMA 149, 555–562 (2023). https://doi.org/10.1007/s11854-022-0257-9

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  • DOI: https://doi.org/10.1007/s11854-022-0257-9

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