论文标题

插值空间中的凸

Convexity in the interpolation spaces

论文作者

Mohammad, Daher

论文摘要

在这项工作中,我们研究了规范是否圆形,均匀的圆形,弱均匀的圆形,局部均匀的圆形或弱局部均匀的圆形在复合物或真实的插值空间中。我们将看到这些性质均匀圆形且弱均匀的圆形插值,但是除了双重插值夫妇外,局部均匀圆形或弱局部均匀圆形的属性通常不会插入。

In this work we study if the norms rotund, uniformly rotund, weakly uniformly rotund, locally uniformly rotund or weakly locally uniformly rotund interpolate in the complex or the real interpolation spaces. We will see that the properties uniformly rotund and weakly uniformly rotund interpolate, but the properties locally uniformly rotund or weakly locally uniformly rotund do not interpolate in general except for the dual interpolation couple.

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