Tauberian conditions for Conull spaces

John Connor () and A. K. Snyder

International Journal of Mathematics and Mathematical Sciences, 1985, vol. 8, 1-4

Abstract:

The typical Tauberian theorem asserts that a particular summability method cannot map any divergent member of a given set of sequences into a convergent sequence. These sets of sequences are typically defined by an order growth or gap condition. We establish that any conull space contains a bounded divergent member of such a set; hence, such sets fail to generate Tauberian theorems for conull spaces.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:290384

DOI: 10.1155/S016117128500076X

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