Supercyclicity with Respect to a Sequence on Special Sequence Spaces

Let f¯(n)g1 n=?1 be a sequence of positive numbers such that ¯(0) = 1 and let 1 < p < 1. We consider the space of all formal Laurent series f(z) = 1P n=?1 ^ f(n)zn such that 1X n=?1 j ^ f(n)jp¯(n)p < 1: We investigate the supercyclicity with respect to a sequence on the Banach spaces of formal Laurent series.