Let P=(pk) be a bounded positive sequence and let
A=(ank) be an infinite matrix with all ank≥0. For normed spaces E and Ek, the matrix A generates the
paranormed sequence spaces [A,P]∞((Ek)), [A,P]0((Ek)), and [A,P]((E)), which generalise almost
all the well-known sequence spaces such as c0, c, lp, l∞, and wp. In this paper, topological duals of
these paranormed sequence spaces are constructed and general
representation formulae for their bounded linear functionals are
obtained in some special cases of matrix A.