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On the relations between different types of continuity of operators in the space $C(T)$
Voloshyn Galina Arkadievna 1 , Maslyuchenko Volodymyr Kyrylovych 1
1 Department of Mathematical Analysis, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: types of continuity of operators
Abstract

Relations between different types of continuity of operators which act in the space of continuous functions equipped with the topology of pointwise or uniform convergence are studied.

References

[1] Voloshin G.A., Maslyuchenko V.K. On the approximation of separately continuous functions, $2p$-periodic with respect to the second variable // K arp. math. publ. - 2010. - 2 , №1 - P. 4-14.

[2] Voloshin G.A., Maslyuchenko V.K., Maslyuchenko O.V. On the approximation of separately and jointly continuous functions // K arp. math. publ. - 2010. - 2 , №2 - P.11-21.

[3] Maslyuchenko V.K. First types of topological vector spaces. - Chernivtsi: Ruta, 2002. - 72 p.

[4] Engelking R. General topology.  - M.: Mir, 1986.  - 752 p.

[5] Maslyuchenko V.K. Lectures on functional analysis. Part 2: Linear operators and functionalities. - Chernivtsi: CNU Ruta, 2010. - 192 p.

Cite
ACS Style
Voloshyn, G.A.; Maslyuchenko, V.K. On the relations between different types of continuity of operators in the space $C(T)$. Bukovinian Mathematical Journal. 2018, 2
AMA Style
Voloshyn GA, Maslyuchenko VK. On the relations between different types of continuity of operators in the space $C(T)$. Bukovinian Mathematical Journal. 2018; 2(1).
Chicago/Turabian Style
Galina Arkadievna Voloshyn, Volodymyr Kyrylovych Maslyuchenko. 2018. "On the relations between different types of continuity of operators in the space $C(T)$". Bukovinian Mathematical Journal. 2 no. 1.
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