Let α be an ordinal. Then α­1, the set of all ordinals equal to or preceding α, is a compact Hausdorff topological space. The space of all real-valued continuous functions on α­1 is commonly denoted by C(α). In this paper, we study the symmetric sequence spaces which are isomorphic to subspaces of C(α) for some countable ordinal α. In the next section, we prove a general result which shows that...

Introduction: Orlicz and Birnbaum considered spaces of functions with growth properties different from the power type growth control, provided by the p L -norm. This generalization found many applications in differential and integral equations with kernels of non-power types. A more abstract approach was given by Nakano in connection with the theory of order spaces. His point of view was genera...