The gliding hump property in vector sequence spaces |
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Authors: | Charles Swartz |
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Institution: | (1) Department of Mathematical Sciences, New Mexico State University, 88005 Las Cruces, NM, USA |
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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 -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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Keywords: | 46E40 |
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