Finitely additive measures and complementability of Lipschitz-free spaces

被引：0
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作者：
Marek Cúth
Ondřej F. K. Kalenda
Petr Kaplický
机构：
[1] Charles University,Department of Mathematical Analysis, Faculty of Mathematics and Physics
来源：
Israel Journal of Mathematics | 2019年 / 230卷
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摘要：
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.
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页码：409 / 442
页数：33
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