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Keywords:
interpolation
interpolation
Summary:
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 $(A_0^*, A_1^*)_\beta$.
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