Gliding hump properties and some applications

Johann Boos and Daniel J. Fleming

International Journal of Mathematics and Mathematical Sciences, 1995, vol. 18, 1-12

Abstract:

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 ⊂ S F , whenever F is a separable F K space containing E where S F 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.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:609737

DOI: 10.1155/S0161171295000160

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