On eigenvalues of generalized shift linear vector isomorphisms

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.

کلیدواژه ها:

eigenvalue ، Generalized shift ، Isomorphism