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On the Banach lattice $$c_0$$ c 0
Revista Matemática Complutense ( IF 1.4 ) Pub Date : 2020-01-07 , DOI: 10.1007/s13163-019-00342-x
Antonio Avilés , Gonzalo Martínez-Cervantes , José David Rodríguez Abellán

We show that \(c_0\) is not a projective Banach lattice, answering a question of B. de Pagter and A. Wickstead. .On the other hand, we show that \(c_0\) is complemented in the free Banach lattice generated by itself (seen as a Banach space). As a consequence, the free Banach lattice generated by \(c_0\) is not projective.



中文翻译:

在Banach格上$$ c_0 $$ c 0

我们证明\(c_0 \)不是射影的Banach格,回答了B. de Pagter和A. Wickstead的问题。另一方面,我们证明\(c_0 \)在自身生成的自由Banach晶格中被补充(称为Banach空间)。结果,由\(c_0 \)生成的自由Banach晶格不是投影的。

更新日期:2020-01-07
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