Continuity of distinctly measurable polyadditive mappings

Maslyuchenko Volodymyr Kyrylovych; Maslyuchenko Oleksandr Volodymyrovych; Rizun  M. V.

Maslyuchenko Volodymyr Kyrylovych ¹ , Maslyuchenko Oleksandr Volodymyrovych ^2,1 , Rizun M. V. ³

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

² Institute of Mathematics, University of Silesia in Katowice, Katowice, 40-007, Poland

³ Chernivtsi National University named after Yuriy Fedkovych, Chernivtsi, 58002, Ukraine

Keywords: continuity, polyadditive mappings

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Abstract

We prove that every separately Baire measurable $n$ -additive map $f: X_1 × ... × X_n →Z$ is jointly continuous if $X_1, ... , X_n$ be completely metrizable topological groups and $Z$ be a metrizable topological group.

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ACS Style: Maslyuchenko, V.K.; Maslyuchenko, O.V.; Rizun , M.V. Continuity of distinctly measurable polyadditive mappings. Bukovinian Mathematical Journal. 2018, 1
AMA Style: Maslyuchenko VK, Maslyuchenko OV, Rizun MV. Continuity of distinctly measurable polyadditive mappings. Bukovinian Mathematical Journal. 2018; 1(1-2).
Chicago/Turabian Style: Volodymyr Kyrylovych Maslyuchenko, Oleksandr Volodymyrovych Maslyuchenko, M. V. Rizun . 2018. "Continuity of distinctly measurable polyadditive mappings". Bukovinian Mathematical Journal. 1 no. 1-2.

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