On interpolation of compact operators
The authors extend a result of \textit{K. Hayakawa} [J. Math. Soc. Jap. 21, 189-199 (1969; Zbl 0181.137)], and prove: If T is a linear operator such that T: \(A_ 0\to B_ 0\), is bounded, and T: \(A_ 1\to B_ 1\) is compact, and moreover, \(A_ 1\subset A_ 0\), then T: \(\bar A_{\theta,q}\to \bar B_{\theta,q}\) is compact for \(0<\theta <1\), \(0<q\leq \infty\).
scientific article; zbMATH DE number 4131051