期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1995
卷号：18
DOI：10.1155/S0161171295000160
出版社：Hindawi Publishing Corporation
摘要：In this not we consider several types of gliding bump properties for a sequence space E
and we consider the various implications between these properties. By means of examples we show that
most of the implications are strict and they afford a sort of structure between solid sequence spaces and
those with weakly sequentially complete β-duals. Our main result is used to extend a result of Bennett and
Kalton which characterizes the class of sequence spaces E with the properly that E⊂SF, whenever F is
a separable FK space containing E where SF denotes the sequences in F having sectional convergence.
This, in turn, is used to identify a gliding humps property as a sufficient condition for E to be in this
class.
