首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Embedding as Lipschitz functions
Authors:M Raja
Institution:Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Givat Ram, 91904, Jerusalem, Israel
Abstract:Let $K$ be a compact Hausdorff space and let $d$ be a lower semicontinuous metric on it. We prove that $K$ is fragmented by $d$ if, and only if, $C(K)$ contains no copy of $\ell_1$ made up of Lipschitz functions with respect to $d$. As applications we obtain a characterization of Asplund Banach spaces and Radon-Nikodým compacta.

Keywords:
点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号