Abstract
It is shown that vector sequence spaces with a gliding hump property have many of the properties of complete spaces. For example, it is shown that the β-dual of certain vector sequence spaces with a gliding hump property are sequentially complete with respect to the topology of pointwise convergence and also versions of the Banach-Steinhaus Theorem are established for such spaces.
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Swartz, C. The gliding hump property in vector sequence spaces. Monatshefte für Mathematik 116, 147–158 (1993). https://doi.org/10.1007/BF01404009
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DOI: https://doi.org/10.1007/BF01404009