English

Krein's trace theorem revisited

Operator Algebras 2017-01-04 v1 Mathematical Physics math.MP

Abstract

We supply the first proof of Krein's Trace Theorem which does not use complex analysis. Our proof holds for~σ\sigma-finite von Neumann algebras M\mathcal{M} of type II and unbounded perturbations from the predual of~M\mathcal{M}.

Keywords

Cite

@article{arxiv.1701.00697,
  title  = {Krein's trace theorem revisited},
  author = {Denis Potapov and Fedor Sukochev and Dmitriy Zanin},
  journal= {arXiv preprint arXiv:1701.00697},
  year   = {2017}
}

Comments

accepted to Journal of Spectral Theory

R2 v1 2026-06-22T17:40:00.486Z