Finitely additive measures and complementability of Lipschitz-free spaces
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DOI: 10.1007/s11856-019-1829-y
Abstract: We prove in particular that the Lipschitz-free space over a finite-dimensional normed space is complemented in its bidual. For Euclidean spaces the norm of the respective projection is 1. As a tool to obtain the… read more here.
Keywords: additive measures; lipschitz free; free spaces; complementability lipschitz ... See more keywords
Schauder bases in Lipschitz free spaces over nets in Banach spaces
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DOI: 10.1016/j.jmaa.2022.126178
Abstract: In the present note we give two explicit constructions (based on a retractional argument) of a Schauder basis for the Lipschitz free space F(N), over certain uniformly discrete metric spaces N . The first one… read more here.
Keywords: banach spaces; space; lipschitz free; schauder basis ... See more keywords