ABSTRACT

When X = /?, the corresponding spaces are written as co(p), c(p), (p), t (p ) , and c^(p) respectively. Each of the first four spaces are known as the sequence spaces of Maddox. These spaces were first introduced and studied by Simons [7], Maddox [4], [5], and Nakano [6]. In [2] the structure of the spaces co(p), c(p), and £oo(p) have been investigated.