论文标题
某些Banach空间的预期和双重预期
Preduals and double preduals of some Banach spaces
论文作者
论文摘要
在本文中，我们研究了何时可以将Banach空间确定为另一个Banach空间的双重或双重双重的方法。为了获得这些结果，我们将这些空间与其他混凝土巴拉克空间联系起来 - 诱导$ \ ell^1 $和$ \ ell^\ infty $ - 并表明，在适当的假设下，我们可以将这些空间的属性转移到我们考虑的空间中。特别是，我们展示了如何以简单的方式使用这些结果来获得有关$ bmo $和$ bv $的空间的有趣结果。
In this paper we study ways to establish when a Banach space can be identified as the dual or the double dual of another Banach space. To obtain these results, we relate these spaces with other, concrete Banach spaces - tipically $\ell^1$ and $\ell^\infty$ - and show that under suitable assumptions we can transfer properties of these spaces to the space we consider. In particular, we show how these results can be used to obtain in a simple way interesting results about spaces such as $BMO$ and $BV$.
