WIAS Preprint No. 3231, (2025)

The Birman--Solomyak theorem revisited: A novel elementary proof, generalisation, and applications


Authors

  • Bach, Volker
  • ter Elst, A. F. M.
  • Rehberg, Joachim

2020 Mathematics Subject Classification

  • 47B10 47A55

Keywords

  • Birman--Solomyak theorem, Schrödinger--Poisson system, trace class operators

DOI

10.20347/WIAS.PREPRINT.3231

Abstract

We provide a new short proof for the Birman--Solomyak theorem for Hilbert--Schmidt operators and give an application to a Schrödinger--Poisson system.

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