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Topological invariants, diametral dimension, and one related question
Demeulenaere, Loïc
2017
 

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Keywords :
Topological invariants; Diametral dimension
Abstract :
[en] Diametral dimension is a topological invariant for topological vector spaces which appears to be useful to characterize some classical classes of locally convex spaces (Schwartz, nuclear spaces). In this talk, we first introduce the notion of Kolmogorov's diameters to define the diametral dimension of a topological vector space. We also consider some simple properties of these concepts. Then, we focus on an open question concerning the equality of the diametral dimension with one of its variants.
Disciplines :
Mathematics
Author, co-author :
Demeulenaere, Loïc  ;  Université de Liège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes
Language :
English
Title :
Topological invariants, diametral dimension, and one related question
Publication date :
15 May 2017
Event name :
PhD Seminars Mathematics - Session 6: Functional Analysis
Event organizer :
Department of Mathematics - Gent University
Event place :
Gent, Belgium
Event date :
15 mai 2017
Funders :
FRIA - Fonds pour la Formation à la Recherche dans l'Industrie et dans l'Agriculture [BE]
Available on ORBi :
since 16 May 2017

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