English

On Kitaev's determinant formula

Mathematical Physics 2022-08-17 v2 math.MP

Abstract

We establish a sufficient condition under which det(ABA1B1)=1{\rm det}\,(ABA^{-1}B^{-1})=1 for a pair of bounded, invertible operators A,BA,B on a Hilbert space.

Cite

@article{arxiv.2110.00599,
  title  = {On Kitaev's determinant formula},
  author = {Alexander Elgart and Martin Fraas},
  journal= {arXiv preprint arXiv:2110.00599},
  year   = {2022}
}

Comments

6 pages, no figures, typos corrected

R2 v1 2026-06-24T06:33:53.231Z