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Mar 26, 2016 at 10:51 vote accept red_alert
Mar 26, 2016 at 10:42 history edited Taras Banakh CC BY-SA 3.0
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Mar 26, 2016 at 10:40 comment added Taras Banakh Then close this question as being answered. By the way, the equivalence of the sequentiality and the k-space property in $Lin(X)$ follows from the metrizablity of compact sets in $Lin(X)$.
Mar 26, 2016 at 6:13 comment added red_alert I proved that it's true. Thank you!
Mar 24, 2016 at 21:36 history edited Taras Banakh CC BY-SA 3.0
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Mar 24, 2016 at 21:09 history answered Taras Banakh CC BY-SA 3.0