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

Abstract

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.

Authors

  • 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
    e-mail
  • Jean EsterleIMB, Université Bordeaux 1
    351 cours de la Libération
    33405 Talence Cedex, France
    e-mail
  • Jonathan R. PartingtonSchool of Mathematics
    University of Leeds
    Leeds LS2 9JT, U.K.
    e-mail

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