Advanced topology on the multiscale sequence spaces S^ν - Mathematics > Functional AnalysisReport as inadecuate




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Abstract: We pursue the study of the multiscale spaces $S^ u$ introduced by Jaffard inthe context of multifractal analysis. We give the necessary and sufficientcondition for $S^ u$ to be locally p-convex, and exhibit a sequence of$p$-norms that defines its natural topology. The strong topological dual of$S^ u$ is identified to another sequence space depending on $ u$, endowedwith an inductive limit topology. As a particular case, we describe the dual ofa countable intersection of Besov spaces.



Author: Jean-Marie Aubry, Françoise Bastin

Source: https://arxiv.org/



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