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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… Click to show full 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 main result we establish several facts on the structure of finitely additive measures on finite-dimensional spaces.
Keywords:
additive measures;
lipschitz free;
free spaces;
complementability lipschitz;
measures complementability;
finitely additive
Journal Title: Israel Journal of Mathematics
Year Published: 2019
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Journal Title: Israel Journal of Mathematics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!