| Full text | |
| Author(s): |
Cabello Sanchez, Felix
[1]
;
Castillo, Jesus M. F.
[1]
;
Correa, Willian H. G.
[2]
;
Ferenczi, Valentin
[3, 4]
;
Garcia, Ricardo
[1]
Total Authors: 5
|
| Affiliation: | [1] Univ Extremadura, Inst Matemat Imuex, Ave Elvas, Badajoz 06071 - Spain
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat, BR-13566590 Sao Carlos, SP - Brazil
[3] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil
[4] Univ Pierre & Marie Curie Paris 6, Inst Math Jussieu, Equipe Anal Fonct, Case 247, 4 Pl Jussieu, F-75252 Paris 05 - France
Total Affiliations: 4
|
| Document type: | Journal article |
| Source: | JOURNAL OF FUNCTIONAL ANALYSIS; v. 280, n. 4 FEB 15 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We show that Ext(2) (l(2),l(2)) not equal 0 in the category of Banach spaces. This solves a sharpened version of Palamodov's problem and provides a solution to the second order version of Palais problem. We also show that Ext(2) (l(1), K) not equal 0 in the category of quasi Banach spaces, which solves the four space problem for local convexity. (C) 2020 Elsevier Inc. All rights reserved. (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 |