On balancedness and D-completeness of the space of semi-Lipschitz functions
作者： S. Romaguera , J. M. Sánchez-Álvarez , M. Sanchis
DOI: 10.1007/S10474-007-7159-2
关键词: Normed vector space 、 Pseudometric space 、 Strictly convex space 、 Mathematics 、 Function space 、 Vanish at infinity 、 Discrete mathematics 、 Bs space 、 Continuous functions on a compact Hausdorff space 、 Complete metric space
摘要: Let (X, d) be a quasi-metric space and (Y, q) quasi-normed linear space. We show that the normed cone of semi-Lipschitz functions from to vanish at point x0 ∈ X, is balanced. Moreover, it complete in sense D. Doitchinov whenever biBanach
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