Investigation on the structure of lipschitz-free banach space

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Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
University of Dar es Salaam
Abstract
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.
Description
Available in printed form, East Africana Collection, Dr. Wilbert Chagula Library, Class mark (THS EAF QA323.T34G68 )
Keywords
Lipschitz space, Function space, Besov space, Functionals
Citation
Gowele, J.E (2018) Investigation on the structure of lipschitz-free banach space.Master dissertation, University of Dar es Salaam, Dar es Salaam.