7 citations · 14 across the 10 of their papers we have counts for
4 papers · 1 filter
Differential processes generated by two interpolators
J. M. F. Castillo, W. H. G. Correa, V. Ferenczi +1
We study couples of interpolators, the differentials they generate and their associated commutator theorems. An essential part of our analysis is the study of the intrinsic symmetr…
On the ${\Ext}^2$-problem for Hilbert spaces
Félix Cabello Sánchez, Jesús M. F. Castillo, Willian H. G. Corrêa +2
We show that $\Ext^2(\ell_2, \ell_2)\neq 0$ in the category of Banach spaces. This solves a sharpened version of Palamodov's problem and provides a solution to the second order ver…
Higher order derivatives of analytic families of Banach spaces
Félix Cabello Sánchez, Jesús M. F. Castillo, Willian H. G. Correa
We show that the Rochberg spaces induced by complex interpolation form themselves complex interpolation scales, obtain the interpolated spaces and associated derivations. We presen…
Complex interpolation of families of Orlicz sequence spaces
Willian Hans Goes Corrêa
We study the complex interpolation and derivation process induced by a family of Orlicz sequence spaces. We present a concrete example of interpolation family of three spaces induc…