Reference : Advanced topology on the multiscale sequence spaces S-nu
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/2268/28672
Advanced topology on the multiscale sequence spaces S-nu
English
Aubry, Jean-Marie mailto [Paris 12 Créteil > LAMA > Analyse > >]
Bastin, Françoise mailto [Université de Liège - ULg > Département de mathématique > Analyse, analyse fonctionnelle, ondelettes >]
2009
Journal of Mathematical Analysis & Applications
Academic Press
350
2
Sp. Iss. SI
439-454
Yes (verified by ORBi)
International
0022-247X
San Diego
CA
[en] Sequence space ; Local convexity ; Frechet spaces ; Strong topological dual
[en] We put-sue the Study of the multiscale spaces S-v introduced by Jaffard in the context of multifractal analysis. We give the necessary and Sufficient condition for S-v to be locally p-convex, and exhibit a sequence of p-norms that defines its natural topology. The strong topological dual of S-v is identified to another sequence space depending on v, endowed with an inductive limit topology. As a particular case, we describe the dual of a countable intersection of Besov spaces. (C) 2007 Elsevier Inc. All rights reserved.
http://hdl.handle.net/2268/28672
10.1016/j.jmaa.2007.11.052

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