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Topological modules of continuous homomorphisms |
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| Authors: | Liaqat Ali Khan |
| Affiliation: | Department of Mathematics, King Abdulaziz University, PO Box 80203, Jeddah 21589, Saudi Arabia |
| Abstract: | In this paper, we consider the notion of module homomorphisms in the general topological module setting and establish their linearity and continuity under some suitable conditions. We also introduce the strict and uniform topologies on the modules of continuous linear homomorphisms and study their various properties. |
| Keywords: | Topological modules over topological algebras Module homomorphisms Ultrabarrelled topological vector spaces Approximate identity Factorization theorem Essential modules Hypocontinuity |
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