Research Papers

On Kitaev's determinant formula

A. Elgart^a, M. Fraas<sup>b

a</sup> Department of Mathematics, Virginia Tech, Blacksburg, VA 24061-0123, USA
^b Department of Mathematics, UC Davis, Davis, CA 95616, USA

Abstract: A sufficient condition is established under which $\det(ABA^{-1}B^{-1})=1$ for a pair of bounded, invertible operators $A,B$ on a Hilbert space.

Keywords: Schatten trace class, Fredholm operator, shift operators.

Received: 28.09.2021

Language: English

 English version: St. Petersburg Mathematical Journal, 2024, 35:1, 139–144