✦ LIBER ✦

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
DOI: 10.1002/mana.19971840107

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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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