| The Equivalence of Two Convergent Sequence of Bounded Sequences in Normed Space |
| Received:March 13, 2007 Revised:October 30, 2007 |
| Key Words:
almost convergence quasi-almost convergence.
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| Fund Project:the National Natural Science Foundation of China (No.10871101); the Research Fund for the Doctoral Program of Higher Education (No.20060055010). |
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| Abstract: |
| Two kinds of convergent sequences on the real vector space ${\bf m}$ of all bounded sequences in a real normed space $X$ were discussed in this paper, and we prove that they are equivalent, which improved the results of [1]. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.03.024 |
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