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Higher order derivatives of analytic families of Banach spaces

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Author(s):
Sanchez, Felix Cabello ; Castillo, Jesus M. F. ; Correa, Willian H. G.
Total Authors: 3
Document type: Journal article
Source: STUDIA MATHEMATICA; v. N/A, p. 53-pg., 2023-07-20.
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. (AU)

FAPESP's process: 18/03765-1 - Twisted Hilbert and complexity in Banach spaces
Grantee:Willian Hans Goes Corrêa
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 16/25574-8 - Geometry of Banach Spaces
Grantee:Valentin Raphael Henri Ferenczi
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 21/13401-0 - Analytic families of Banach spaces
Grantee:Willian Hans Goes Corrêa
Support Opportunities: Scholarships abroad - Research