On eigenvalues of generalized shift linear vector isomorphisms

Document Type : Research Paper

Authors

Faculty of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran

Abstract

Our main aim is to compute eigenvalues
of generalized shift isomorphism $\sigma_\varphi:V^\Gamma\to
V^\Gamma$ with $\sigma_\varphi((x_\alpha)_{\alpha\in\Gamma})=
(x_{\varphi(\alpha)})_{\alpha\in\Gamma}$ ($
(x_\alpha)_{\alpha\in\Gamma}\in V^\Gamma$) where $V$ is a
vector space (over field $F$), $\Gamma$ is a nonempty arbitrary set and $\varphi:\Gamma\to\Gamma$ is an arbitrary bijection.

Keywords