Higher order derivatives of analytic families of Banach spaces
Volume 272 / 2023
Studia Mathematica 272 (2023), 245-297
MSC: Primary 46B70; Secondary 46M18, 46H99.
DOI: 10.4064/sm220919-3-2
Published online: 20 July 2023
Abstract
We show that the Rochberg spaces generated by complex interpolation form themselves complex interpolation scales and obtain their new interpolated spaces and associated derivations. We present our results in the context of analytic families of Banach spaces and study the problem of determining the Rochberg spaces induced by these new families.
