On eigenvalues of generalized shift linear vector isomorphisms

Our main aim is to compute eigenvalues of generalized shift isomorphism φ : V ? ! V ? with φ((x ) 2?) = (xφ( )) 2? ((x ) 2? 2 V ?) where V is a vector space (over field F), ? is a nonempty arbitrary set, and φ : ? ! ? is an arbitrary bijection

Keywords:

Eigenvalue , Generalised shift , Isomorphism