Abstract: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 $(A_0^*, A_1^*)_\beta$.
Keywords: interpolation
DOI: DOI 10.14712/1213-7243.2015.173
AMS Subject Classification: 46B70