Some real interpolation methods for families of Banach spaces: A comparison
The authors investigate real interpolation procedures between families of Banach spaces \(A(\gamma)\) indexed by the unit circle \({\mathbb T}\subset {\mathbb C}\) to yield spaces \(A(z)\) labelled by the unit disk. In particular, the authors study new interpolation methods by passing to the limit in the constructions by \textit{G. Sparr} [Ann. Mat. pura appl., IV. Ser. 99, 247-316 (1974; Zbl 0282.46022)] and \textit{F. Cobos} and \textit{J. Peetre} [Proc. Lond. Math. Soc., III. Ser. 63, 371-400 (1991; Zbl 0727.46053)], and they give sharp estimates of the corresponding operator norms.
interpolation for families of Banach spaces
scientific article; zbMATH DE number 1016788
scientific article