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Algebra i Analiz, 2023, Volume 35, Issue 1, Pages 184–191 (Mi aa1849)  
Research Papers

On Kitaev's determinant formula

A. Elgarta, M. Fraasb

a Department of Mathematics, Virginia Tech, Blacksburg, VA 24061-0123, USA
b Department of Mathematics, UC Davis, Davis, CA 95616, USA
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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.
Funding agency Grant number
National Science Foundation DMS-1907435
Simons Foundation
Both authors are supported in part by the NSF under grant DMS-1907435. A.E. is supported in part by the Simons Fellows in Mathematics grant.
Received: 28.09.2021
English version:
St. Petersburg Mathematical Journal, 2024, Volume 35, Issue 1, Pages 139–144
DOI: https://doi.org/10.1090/spmj/1796
Document Type: Article
Language: English
Citation: A. Elgart, M. Fraas, “On Kitaev's determinant formula”, Algebra i Analiz, 35:1 (2023), 184–191; St. Petersburg Math. J., 35:1 (2024), 139–144
Citation in format AMSBIB
\Bibitem{ElgFra23}
\by A.~Elgart, M.~Fraas
\paper On Kitaev's determinant formula
\jour Algebra i Analiz
\yr 2023
\vol 35
\issue 1
\pages 184--191
\mathnet{http://mi.mathnet.ru/aa1849}
\transl
\jour St. Petersburg Math. J.
\yr 2024
\vol 35
\issue 1
\pages 139--144
\crossref{https://doi.org/10.1090/spmj/1796}
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