A+ CATEGORY SCIENTIFIC UNIT

Representations with regular norm-behaviour of locally compact abelian semigroups

Volume 183 / 2007

László Kérchy, Zoltán Léka Studia Mathematica 183 (2007), 143-160 MSC: Primary 47D03. DOI: 10.4064/sm183-2-4

Abstract

We prove that some regularity conditions on unbounded representations of topological abelian semigroups with countable spectral conditions induce a certain stability result extending the well-known Arendt–Batty–Lyubich–Vũ theorem.

Authors

  • László KérchyBolyai Institute
    University of Szeged
    Aradi Vértanúk tere 1
    H-6720 Szeged, Hungary
    e-mail
  • Zoltán LékaBolyai Institute
    University of Szeged
    Aradi Vértanúk tere 1
    H-6720, Szeged, Hungary
    e-mail

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