Gowele, Jesline Elieza2020-05-222020-05-222018Gowele, J.E (2018) Investigation on the structure of lipschitz-free banach space.Master dissertation, University of Dar es Salaam, Dar es Salaam.http://41.86.178.5:8080/xmlui/handle/123456789/11424Available in printed form, East Africana Collection, Dr. Wilbert Chagula Library, Class mark (THS EAF QA323.T34G68 )In this dissertation we showed that, the Lipschitz-free space over a quasi-ultrametric space has monotone Schauder basis. Also we showed that, in a quasi-metric space, l_∞is linearly isomorphic to a subspace of the space of Lipschitz functions. Lastly, we showed that, Lipschitz-free space over a sequentially metric space contains a 1-complemented subspace isometric to l_1.enLipschitz spaceFunction spaceBesov spaceFunctionalsThesis