Abstract
Generalizing a well known trace formula from linear algebra, we define a generalized determinant of a pair of endomorphisms in arbitrary (infinite) dimensional vector spaces. We prove, in a purely linear algebraic context, that this generalized determinant is a true determinant and that any formal power series with rational coefficients can be seen as one of these determinants. This result was already given a different proof in the Ph.D. thesis of the first author, but was not available in the literature, yet. Some illustrations are given regarding the study of the dynamical zeta function of an interval map.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
