Asymptotic solutions of nondiagonal linear difference systems

Abstract

In this paper we shall give the $ \alpha$-, $ \beta$-, $ \gamma$- and $ f$-duals of the sets $ w_{0}^{p}(\Lambda)$, $ w_{\infty}^{p}(\Lambda)$, $ c_{0}^{p}(\Lambda)$, $ c^{p}(\Lambda)$ and $ c_{\infty}^{p}(\Lambda)$. Furthermore, we shall determine the continuous dual spaces of the sets $ w_{0}^{p}(\Lambda)$, $ c_{0}^{p}(\Lambda)$ and $ c^{p}(\Lambda)$.