Volume 25 • Number 2 • 2002   • The Hahn Sequence Space-III K. Chandrasekhara Rao and N. Subramanian Abstract. The purpose of this article is to introduce a new class of sequence spaces, namely semi-Hahn spaces. It is shown that the intersection of all semi-Hahn spaces is the Hahn space. There are already semi-conservative and semi-replete spaces in literature. However, there is no relation among these spaces. Some properties of the Hahn space which are not included in [2] and [3] are given, before introducing semi-Hahn spaces. In fact, conditions for inclusion of the Hahn space h in an FK-space, AB-property of h, and inclusion of the distinguished subspace are studied. Full text: PDF