Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417438 | Journal of Mathematical Analysis and Applications | 2016 | 10 Pages |
Abstract
It is folklore that a power bounded operator on a sequentially complete locally convex space generates a uniformly continuous C0-semigroup which is given by the corresponding power series representation. Recently, DomaÅski asked if in this result the assumption of being power bounded can be relaxed. We employ conditions introduced by Å»elazko to give a weaker but still sufficient condition for generation and apply our results to operators on classical function and sequence spaces.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Anna GoliÅska, Sven-Ake Wegner,