Non-power bounded generators of strongly continuous semigroups

Anna Golińska, Sven-Ake Wegner

Research output: Contribution to journalArticlepeer-review


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, Domański asked if in this result the assumption of being power bounded can be relaxed. We employ conditions introduced by Zelazko to give a weaker but still sufficient condition for generation and apply our results to operators on classical function and sequence spaces.

Original languageEnglish
Pages (from-to)429-438
Number of pages10
JournalJournal of Mathematical Analysis and Applications
Issue number1
Publication statusE-pub ahead of print - 14 Dec 2015

Cite this