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Barrelled spaces and mean ergodicity
Authors:
- Krzysztof Piszczek
Abstract
We characterize quasi-reflexive barrelled and complete locally convex Hausdorff spaces with a basis in terms of the properties of this basis. Moreover we prove that a complete, barrelled lcHs with a basis is quasi-reflexive of order one if and only if for every power bounded operator T, either T or T′ is mean ergodic. © 2010 Real Academia de Ciencias, España.
- Record ID
- UAM9e71f808e9414bf49f307fcd42e7f389
- Author
- Journal series
- Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, ISSN 1578-7303
- Issue year
- 2010
- Vol
- 104
- Pages
- 5-11
- ASJC Classification
- ; ; ; ;
- DOI
- DOI:10.5052/RACSAM.2010.02 Opening in a new tab
- Language
- (en) English
- Score (nominal)
- 0
- Score source
- journalList
- Publication indicators
- = 4; = 5; : 2014 = 0.814; : 2010 (2 years) = 0.400 - 2012 (5 years) =0.762
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAM9e71f808e9414bf49f307fcd42e7f389/
- URN
urn:amu-prod:UAM9e71f808e9414bf49f307fcd42e7f389
* 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.