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Gliding hump properties and some applications

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  • Johann Boos
  • Daniel J. Fleming

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.

Suggested Citation

  • Johann Boos & Daniel J. Fleming, 1995. "Gliding hump properties and some applications," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 18, pages 1-12, January.
    • Handle: RePEc:hin:jijmms:609737
    DOI: 10.1155/S0161171295000160
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