Unpublished conference/Abstract (Scientific congresses and symposiums)
An open question about diametral dimensions
Demeulenaere, Loïc
2017Conference on Non Linear Functional Analysis
 

Files


Full Text
Presentation_Valencia 2017.pdf
Author preprint (746.35 kB)
Beamer
Download
Annexes
abstract_Demeulenaere.pdf
Publisher postprint (115.69 kB)
Abstract
Download

All documents in ORBi are protected by a user license.

Send to



Details



Keywords :
Diametral dimension
Abstract :
[en] The diametral dimension is a topological invariant which characterizes Schwartz and nuclear spaces. However, there exists another diametral dimension which was conjectured by Bessaga, Mityagin, Pełczynski, and Rolewicz to be equal to the first one in Fréchet spaces. In this talk, we describe some conditions which assure the equality of the two diametral dimensions in metrizable locally convex spaces. Besides, we explain why such an equality is generally impossible in non-metrizable spaces.
Disciplines :
Mathematics
Author, co-author :
Demeulenaere, Loïc  ;  Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes
Language :
English
Title :
An open question about diametral dimensions
Publication date :
19 October 2017
Event name :
Conference on Non Linear Functional Analysis
Event place :
Valence, Spain
Event date :
From October 17 to October 20, 2017
Audience :
International
Funders :
FRIA - Fonds pour la Formation à la Recherche dans l'Industrie et dans l'Agriculture [BE]
Available on ORBi :
since 19 October 2017

Statistics


Number of views
74 (30 by ULiège)
Number of downloads
36 (4 by ULiège)

Bibliography


Similar publications



Contact ORBi