论文标题
复杂的Banach空间的双重空间仅限于实数领域
The dual space of a complex Banach space restricted to the field of real numbers
论文作者
论文摘要
某些部分微分方程的解决方案作为实际功能的关键点获得。然后，定义该功能的Banach空间必须是真实的，否则，这是无可分割的。因此，相对于此Banach空间的真实双重空间解决了方程。但是，如果解决方案是复杂的，则存在以下问题：该方程式乘以复杂数的乘法是什么意思？在本说明中，我们解释了如何严格定义此操作。
Solutions of some partial differential equations are obtained as critical points of a real funtional. Then the Banach space where this functional is defined has to be real, otherwise, it is not differentiable. It follows that the equation is solved with respect to the real dual space of this Banach space. But if the solution is complex-valued there is the following problem: what does the multiplication of this equation by a complex number mean ? In this note, we explain how to rigorously define this operation.
