| Full text | |
| Author(s): |
Castillo, Jesus M. F.
[1]
;
Correa, Willian H. G.
[2]
;
Ferenczi, Valentin
[2]
;
Gonzalez, Manuel
[3]
Total Authors: 4
|
| Affiliation: | [1] Univ Extremadura, Inst Matemat, Ave Elvas S-N, Badajoz 06011 - Spain
[2] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil
[3] Univ Cantabria, Dept Matemat, Ave Castros S-N, Santander 39071 - Spain
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU; v. 21, n. 1, p. 303-334, JAN 2022. |
| Web of Science Citations: | 0 |
| Abstract | |
We study the stability of the differential process of Rochberg and Weiss associated with an analytic family of Banach spaces obtained using the complex interpolation method for families. In the context of Kothe function spaces, we complete earlier results of Kalton (who showed that there is global bounded stability for pairs of Kothe spaces) by showing that there is global (bounded) stability for families of up to three Kothe spaces distributed in arcs on the unit circle while there is no (bounded) stability for families of four or more Kothe spaces. In the context of arbitrary pairs of Banach spaces, we present some local stability results and some global isometric stability results. (AU) | |
| FAPESP's process: | 13/11390-4 - Twisted sums, positions and Ramsey theory in Banach Spaces |
| Grantee: | Valentin Raphael Henri Ferenczi |
| Support Opportunities: | Regular Research Grants |
| 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: | 15/17216-1 - Twisted sums and group representations in Banach spaces |
| Grantee: | Valentin Raphael Henri Ferenczi |
| Support Opportunities: | Scholarships abroad - Research |
| FAPESP's process: | 16/25574-8 - Geometry of Banach Spaces |
| Grantee: | Valentin Raphael Henri Ferenczi |
| Support Opportunities: | Research Projects - Thematic Grants |