Matrix transformations and convex spaces
In a Hausdorff topological linear space we examine relations between r-convexity and a condition on matrix transformations between null sequences. In particular, for metrizable spaces the condition implies r-convexity. For locally bounded spaces the condition implies sequential completeness.
| Κύριος συγγραφέας: | |
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| Μορφή: | Άρθρο |
| Γλώσσα: | English |
| Έκδοση: |
Hindawi Limited
1988-01-01
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| Σειρά: | International Journal of Mathematics and Mathematical Sciences |
| Θέματα: | |
| Διαθέσιμο Online: | http://dx.doi.org/10.1155/S0161171288000705 |