Null Sequences in Coechelon Spaces
Identifieur interne : 002477 ( Main/Exploration ); précédent : 002476; suivant : 002478Null Sequences in Coechelon Spaces
Auteurs : Susanne Dierolf ; Pawel Doma SkiSource :
- Mathematische Nachrichten [ 0025-584X ] ; 1997.
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Abstract
We prove that for any Köthe matrices a and b if T : λ1(α) → λ0(b) maps bounded sets into relatively compact sets, then T factorizes through a Fréchet Montel space. This is a consequence of a given description of those compact subsets in a coechelon space k∞(v) of type oo which are contained in an absolutely convex hull of a null sequence. An example of a compact set which is not of that form is given.
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DOI: 10.1002/mana.19971840107
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