Non-power bounded generators of strongly continuous semigroups

Anna Golińska, Sven Ake Wegner

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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, 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
Volume436
Issue number1
DOIs
Publication statusPublished - Apr 1 2016

Keywords

  • Fréchet space
  • Power bounded operator
  • Strongly continuous semigroup

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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