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Null Sequences in Coechelon Spaces

✍ Scribed by Susanne Dierolf; Pawel Domański


Book ID
102489880
Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
474 KB
Volume
184
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

We prove that for any Köthe matrices a and b if T : λ~1~(α) → λ~0~(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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