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Automatic continuity and amenability in the non-commutative Schwartz space
Authors:
- Krzysztof Piszczek
Abstract
We show that all positive functionals as well as all derivations of the non-commutative Schwartz space are continuous. We also prove this space is not boundedly approximately amenable however it is approximately amenable.
- Record ID
- UAM70154e4c24504d4abc41c1c68bc1ad23
- Author
- Journal series
- Journal of Mathematical Analysis and Applications, ISSN 0022-247X
- Issue year
- 2015
- Vol
- 432
- Pages
- 954-964
- ASJC Classification
- ;
- DOI
- DOI:10.1016/j.jmaa.2015.06.067 Opening in a new tab
- Language
- (en) English
- Score (nominal)
- 40
- Score source
- journalList
- Score
- Publication indicators
- = 6; = 9; : 2015 = 1.266; : 2015 (2 years) = 1.014 - 2015 (5 years) =1.130
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAM70154e4c24504d4abc41c1c68bc1ad23/
- URN
urn:amu-prod:UAM70154e4c24504d4abc41c1c68bc1ad23
* 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.