Poster (Scientific congresses and symposiums)
Some results about diametral dimensions
Demeulenaere, Loïc
2016Second joint Conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies
 

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Keywords :
Diametral dimensions; Fréchet spaces; Functional Analysis
Abstract :
[en] The diametral dimension is an important topological invariant, especially in the context of Köthe sequence spaces. This poster presents some results concerning the equality of the diametral dimension with one of its variants. It is based on a joint work with Françoise Bastin, Leonhard Frerick, and Jochen Wengenroth. Firstly, it gives sufficient conditions to have the equality between the two diametral dimensions for a Fréchet space. Secondly, it provides some examples of spaces verifying these conditions. Finally, it gives a family of Schwartz - or even nuclear - (non metrizable) locally convex spaces for which the two diametral dimensions are different.
Disciplines :
Mathematics
Author, co-author :
Demeulenaere, Loïc  ;  Université de Liège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes
Language :
English
Title :
Some results about diametral dimensions
Publication date :
June 2016
Number of pages :
A0
Event name :
Second joint Conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies
Event place :
Logroño, Spain
Event date :
du 6 au 8 juin 2016
Audience :
International
Funders :
FRIA - Fonds pour la Formation à la Recherche dans l'Industrie et dans l'Agriculture [BE]
Available on ORBi :
since 10 June 2016

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