Sigma-locally Uniformly Rotund And Sigma-weak* Kadets Dual Norms

M. Fabian; V. Montesinos; V. Zizler

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Sigma-locally Uniformly Rotund And Sigma-weak* Kadets Dual Norms

机译：西格玛局部均匀的圆形和西格玛弱* Kadets对偶范数

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摘要

The dual X~* of a Banach space X admits a dual σ-LUR norm if (and only if) X~* admits a σ-weak~* Kadets norm if and only if X~* admits a dual weak* LUR norm and moreover X is σ-Asplund generated.

机译：Banach空间X的对偶X〜*接受（且仅当）X〜*接受σ-weak〜* Kadets范数且仅当X〜*接受对偶* LUR规范且且而且X是σ-Asplund生成的。

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《Topology and its applications》 |2009年第7期|1374-1380|共7页
作者
M. Fabian; V. Montesinos; V. Zizler;
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正文语种 eng
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关键词
dual banach space; sigma-lur norm; sigma-weak*; kadets norm; weak* lur norm; sigma-asplund generated space; sigma-isolated family; network; descriptive compact space;

机译：双重banach空间;sigma-lur范式;sigma-weak *;kadets范式;weak * lur范数;sigma-asplund生成空间;sigma隔离族;网络;描述性紧空间;

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Sigma-locally Uniformly Rotund And Sigma-weak* Kadets Dual Norms

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