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Null sequences in coechelon spaces
Authors:
- Susanne Dierolf,
- Paweł Jan Domański
Abstract
We prove that for any Köthe matrices a and b if T : λ1(a) → 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 ∞ 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.
- Record ID
- UAM664dd48025104df09446d2ba56d7da01
- Author
- Journal series
- Mathematische Nachrichten, ISSN 0025-584X
- Issue year
- 1997
- Vol
- 184
- Pages
- 167-176
- ASJC Classification
- DOI
- DOI:10.1002/mana.19971840107 Opening in a new tab
- Language
- (en) English
- Score (nominal)
- 0
- Score source
- journalList
- Publication indicators
- = 4; : 1999 = 0.992; : 2006 (2 years) = 0.382 - 2007 (5 years) =0.569
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAM664dd48025104df09446d2ba56d7da01/
- URN
urn:amu-prod:UAM664dd48025104df09446d2ba56d7da01
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.