Some remarks on the interpolation spaces $A^{\theta}, A_{\theta}$

Commentationes mathematicae Universitatis Carolinae

Mohammad Daher¹ 

关键词: interpolation;   

DOI  :  10.14712/1213-7243.2015.173

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

Let $(A_0, A_1)$ be a regular interpolation couple. Under several different assumptions on a fixed $A^{\beta}$, we show that $A^{\theta} = A_{\theta}$ for every $\theta \in (0, 1)$. We also deal with assumptions on $\overline{A}^{\beta}$, the closure of $A^{\beta}$ in the dual of $(A_0^*, A_1^*)_\beta$.

【 授权许可】

CC BY