In the present chapter, certain normed and paranormed sequence spaces are
studied, and the α-,fi β-, γ- and continuous duals of the spaces l∞, c, c0 and lp of
all bounded, convergent, null and absolutely p-summable sequences are determined
together with some other sequence spaces isomorphic to them. Additionally, a table
of the α-,fi β-, γ- duals of certain normed sequence spaces is given.
Keywords: Metric sequence spaces, normed sequence spaces, K-space, FK- space, BK-space, AK-, AB-, AD- and KB-properties, Schauder basis, paranormed
sequence spaces, α-, β-, γ- and continuous duals of a sequence space.