论文标题
关于有限三线图的Aron-Berner规则性的性质
On the properties of the Aron-Berner regularity of bounded tri-linear maps
论文作者
论文摘要
令$ f：x \ times y \ times z \ longrightArrow w $是标准空间上有界的三线图。我们说$ f $是$ f^{t **** s} = f^{s **** t} $时，而$ f $是Aron-Berener的常规，当所有自然扩展都相等时。在此手稿中，我们在Aron-Berner的常规地图上取得了一些结果。我们研究了有界双线图的Arens规则性与有界三线图的Aron-Berner规则性之间的关系。我们还为三线性地图的Aron-Berner规律性提供了一个简单的标准。
Let $f:X\times Y\times Z\longrightarrow W $ be a bounded tri-linear map on normed spaces. We say that $f$ is close-to-regular when $f^{t****s}=f^{s****t}$ and $f$ is Aron-Berener regular when all natural extensions are equal. In this manuscript, we have some results on the Aron-Berner regular maps. We investigate the relation between Arens regularity of bounded bilinear maps and Aron-Berner regularity of bounded tri-linear maps. We also give a simple criterion for the Aron-Berner regularity of tri-linear maps.
