Regular sequences of normed spaces and cumulative continuity of distinctly continuous mappings

Maslyuchenko Volodymyr Kyrylovych; Filipchuk Olga Igorivna

Maslyuchenko Volodymyr Kyrylovych ¹ , Filipchuk Olga Igorivna ²

¹ Department of Mathematical Analysis, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine

² Department of Mathematical Problems of Management and Cybernetics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine

Keywords: regular sequences, Hausdorff inductive limits

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Abstract

It is proved that Hausdorff inductive limits of J. Sebastian-e-Silva's regular sequences of normed spaces are super -$σ$-metrizable and theorems on joint continuity of separately continuous mappings with values in such spaces are obtained as corollary

References

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ACS Style: Maslyuchenko, V.K.; Filipchuk, O.I. Regular sequences of normed spaces and cumulative continuity of distinctly continuous mappings. Bukovinian Mathematical Journal. 2016, 3
AMA Style: Maslyuchenko VK, Filipchuk OI. Regular sequences of normed spaces and cumulative continuity of distinctly continuous mappings. Bukovinian Mathematical Journal. 2016; 3(3-4).
Chicago/Turabian Style: Volodymyr Kyrylovych Maslyuchenko, Olga Igorivna Filipchuk. 2016. "Regular sequences of normed spaces and cumulative continuity of distinctly continuous mappings". Bukovinian Mathematical Journal. 3 no. 3-4.

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