International Journal of Mathematics and Mathematical Sciences (Jan 2016)

More of Dedekind: His Series Test in Normed Spaces

  • Robert Kantrowitz,
  • Michael M. Neumann

DOI
https://doi.org/10.1155/2016/2508172
Journal volume & issue
Vol. 2016

Abstract

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Dedekind’s test for infinite series has a canonical interpretation in the context of normed spaces. It is shown that his test holds in a normed space precisely when the space is complete.