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 Trans-separability in the strict and compact-open topologies Bull. Korean Math. Soc. 2008 Vol. 45, No. 4, 681-687 Printed December 1, 2008 Liaqat Ali Khan King Abdulaziz University Abstract : We give a characterization of trans-separability for the function spaces $% (C_{b}(X,E),$ $\beta ),$ $(C(X,E),k)$ and $(C_{b}(X,E),u)$ in the case of $E$ any general topological vector space. Keywords : topological vector spaces, vector-valued function spaces, strict topology, trans-separable spaces MSC numbers : 46E40, 46E10, 46A16 Downloads: Full-text PDF