Boundary values of analytic semigroups and associated norm estimates

Volume 91 / 2010

Isabelle Chalendar, Jean Esterle, Jonathan R. Partington Banach Center Publications 91 (2010), 87-103 MSC: Primary 47D03, 46J40; Secondary 46H20. DOI: 10.4064/bc91-0-5


The theory of quasimultipliers in Banach algebras is developed in order to provide a mechanism for defining the boundary values of analytic semigroups on a sector in the complex plane. Then, some methods are presented for deriving lower estimates for operators defined in terms of quasinilpotent semigroups using techniques from the theory of complex analysis.


  • Isabelle ChalendarUniversité de Lyon
    Université Lyon 1
    INSA de Lyon
    Ecole Centrale de Lyon
    CNRS, UMR5208, Institut Camille Jordan
    43 bld. du 11 novembre 1918
    F-69622 Villeurbanne Cedex, France
  • Jean EsterleIMB, Université Bordeaux 1
    351 cours de la Libération
    33405 Talence Cedex, France
  • Jonathan R. PartingtonSchool of Mathematics
    University of Leeds
    Leeds LS2 9JT, U.K.

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