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Cobiss

Filomat 2016 Volume 30, Issue 3, Pages: 541-546
https://doi.org/10.2298/FIL1603541K
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Topological groups of bounded homomorphisms on a topological group

Kočinac Ljubiša (Faculty of Sciences and Mathematics, Niš)
Zabeti Omid (University of Sistan and Baluchestan, Faculty of Mathematics, Zahedan, Iran)

We consider a few types of bounded homomorphisms on a topological group. These classes of bounded homomorphisms are, in a sense, weaker than the class of continuous homomorphisms. We show that with appropriate topologies each class of these homomorphisms on a complete topological group forms a complete topological group.

Keywords: bounded homomorphism, continuous homomorphism, topological group, completeness