The Hahn Sequence Space-III
Bulletin of the Malaysian Mathematical Society, Tome 25 (2002) no. 2
Citer cet article
Voir la notice de l'article provenant de la source BMMS
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.