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.)

haracterization of (semi-)Eberlein compacta using retractional skeleton

Full text
Author(s):
Correa, Claudia [1] ; Cuth, Marek [2, 3] ; Somaglia, Jacopo [4]
Total Authors: 3
Affiliation:
[1] Univ Fed ABC, Ctr Matemat Comp & Cognicao, Ave Estados 5001, Santo Andre, SP - Brazil
[2] Czech Acad Sci, Inst Math, Zitna 25, Prague 11567 1 - Czech Republic
[3] Charles Univ Prague, Fac Math & Phys, Dept Math Anal, Prague 18675 8 - Czech Republic
[4] Univ Milan, Dipartimento Matemat F Enriques, Via Cesare Saldini 50, I-20133 Milan - Italy
Total Affiliations: 4
Document type: Journal article
Source: STUDIA MATHEMATICA; v. 263, n. 2 NOV 2021.
Web of Science Citations: 1
Abstract

We study retractions associated to suitable models in compact spaces admitting a retractional skeleton and find several interesting consequences. Most importantly, we provide a new characterization of Valdivia compacta using the notion of retractional skeletons, which seems to be helpful when characterizing their subclasses. Further, we characterize Eberlein and semi-Eberlein compacta in terms of retractional skeletons and show that our new characterizations give an alternative proof of the fact that a continuous image of an Eberlein compact is Eberlein as well as new stability results for the class of semi-Eberlein compacta, solving in particular an open problem posed by Kubis and Leiderman. (AU)

FAPESP's process: 19/08515-6 - Generalizations of Sobczyk's Theorem for C(K) Banach spaces
Grantee:Claudia Correa de Andrade Oliveira
Support Opportunities: Scholarships abroad - Research
FAPESP's process: 18/09797-2 - Geometry of C(K)-Banach spaces
Grantee:Claudia Correa de Andrade Oliveira
Support Opportunities: Regular Research Grants