Baillon极大正则性定理的一个改进
A refinement of Baillon's theorem on maximal regularity
摘要：
由Baillon的结果可知，关于连续函数空间的极大正则性是罕见的，这意味着要么所涉及的半群生成元是有界算子，要么所考虑的空间包含$c_{0}$ .我们发现，后者的替代品可以排除在一个精致的条件下，类似于最大的规律性$\mathrm{L}^{\infty}$。
英文摘要：
By Baillon's result, it is known that maximal regularity with respect to the space of continuous functions is rare; it implies that either the involved semigroup generator is a bounded operator or the considered space contains $c_{0}$. We show that the latter alternative can be excluded under a refined condition resembling maximal regularity with respect to $\mathrm{L}^{\infty}$.
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