## 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