Yilmaz, Y2024-08-042024-08-0420040362-546Xhttps://doi.org/10.1016/j.na.2004.08.005https://hdl.handle.net/11616/94777Ferrando and Ludkovsky (J. Math. Anal. Appl. 274 (2002) 577-585), have investigated some structral properties of the function space c(0) (A, X) for a Hausdorff locally convex space X. In this work, we are mainly interested in the space l (A, X) of all unordered absolute summable functions from a set A into a Hausdorff locally convex space X. The main result of the work is the representation of the elements of l(A, X) and c(0)(A, X). These representations are related with the separability of the spaces and provide us to obtain continuous duals of l(A, X) and c(0)(A, X) for a normed space X. This improves the Ferrando and Ludkovsky's investigation with geometric aspects. (C) 2004 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/closedAccessrepresentationsvector-valued function spacecontinuous duallocally convex spaceArticle59695997110.1016/j.na.2004.08.0052-s2.0-6344280697Q1WOS:000225181000009Q2