Browsing by Author "Gowele, Jesline Elieza"

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    Investigation on the structure of lipschitz-free banach space
    (University of Dar es Salaam, 2018) Gowele, Jesline Elieza
    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.