Antosik, Piotr; Burzyk, Józef Sequential conditions for barrelledness and bornology. (English) Zbl 0642.46003 Bull. Pol. Acad. Sci., Math. 35, No. 1-10, 457-459 (1987). 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 Cited in 4 Documents MSC: 46A08 Barrelled spaces, bornological spaces Keywords:sequentially continuous pseudonorm; series convergent subsequence PDF BibTeX XML Cite \textit{P. Antosik} and \textit{J. Burzyk}, Bull. Pol. Acad. Sci., Math. 35, No. 1--10, 457--459 (1987; Zbl 0642.46003) OpenURL