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Spaces Snu, diametral dimension and property Omega bar

Authors: Demeulenaere, Loïc;

Spaces Snu, diametral dimension and property Omega bar

Abstract

This paper investigates two topological invariants in the context of the sequence spaces Snu, which are metric topological vector spaces defined in order to study the regularity of signals. First, it extends the formula already known of the diametral dimension of spaces Snu to some non-locally pseudoconvex ones. Second, it proves that locally p-convex spaces Snu verifies the property "Omega id", which is equivalent to Omega bar for Fréchet spaces.

Country
Belgium
Related Organizations
Keywords

Mathématiques, Property Omega bar, Physical, chemical, mathematical & earth Sciences, Physique, chimie, mathématiques & sciences de la terre, Diametral dimension, Sequence spaces, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
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