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Sequential conditions for barrelledness and bornology. (English) Zbl 0642.46003

Let E be a l.c. space for which each sequentially continuous pseudonorm is continuous and for which each null-sequence has a series convergent subsequence. The authors show that then E is barrelled and bornological.
Reviewer: R.Meise

MSC:

46A08 Barrelled spaces, bornological spaces
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