Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Differential processes generated by two interpolators

Full text
Author(s):
Castillo, Jesus M. F. [1] ; Correa, Willian H. G. [2] ; Ferenczi, Valentin [3, 4] ; Gonzalez, Manuel [5]
Total Authors: 4
Affiliation:
[1] Univ Extremadura, Inst Matemat, Ave Elvas S-N, Badajoz 06011 - Spain
[2] Univ Sao Paulo, Dept Matemat, Inst Ciencias Matemat & Comp, Av Trabalhador Sao Carlense 400, 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] Sorbonne Univ, Inst Math Jussieu, Equipe Anal Fonct, UPMC, Case 247, 4 Pl Jussieu, F-75252 Paris 05 - France
[5] Univ Cantabria, Dept Matemat, Ave Castros S-N, Santander 39071 - Spain
Total Affiliations: 5
Document type: Journal article
Source: REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS; v. 114, n. 4 AUG 12 2020.
Web of Science Citations: 0
Abstract

We study pairs of interpolators, the differentials they generate and their associated commutator theorems. An essential part of our analysis is the study of the intrinsic symmetries of the process. Since we work without any compatibility or categorical assumption, our results are flexible enough to obtain and generalize most known results for commutators or translation operators, in particular those of Cwikel et al. (Arkiv. Mat. 33:199-216, 1995) for differential methods and those of Carro et al. (Adv. Math. 169:241-312, 2002) for compatible pairs of interpolators. We also consider stability issues extending the results in Refs. (J. Inst. Math. Jussieu (to appear). http://arxiv.org/abs/1906.06677v1, 2020; Trans. Am. Math. Soc. 369:4671-4708, 2017; Adv. Comput. Math. 5(1006):329-359, 2007) from the complex method to general differential methods. (AU)

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: 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: 13/11390-4 - Twisted sums, positions and Ramsey theory in Banach Spaces
Grantee:Valentin Raphael Henri Ferenczi
Support Opportunities: Regular Research Grants