On eigenvalues of generalized shift linear vector isomorphisms
نویسندگان
1 Faculty of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran
2 Faculty of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran
doi
چکیده
Our main aim is to compute eigenvaluesof generalized shift isomorphism $\sigma_\varphi:V^\Gamma\toV^\Gamma$ 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 avector space (over field $F$), $\Gamma$ is a nonempty arbitrary set and $\varphi:\Gamma\to\Gamma$ is an arbitrary bijection.
