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Bounded H ∞-Calculus for Strip-Type Operators

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Abstract

We study the functional calculus for operators of strong strip type, including both a characterisation by means of weak bounded variation of the resolvent and some perturbation theory. The results are broadly similar in style to those for sectorial operators, but they are not corollaries and there are some surprising differences.

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Authors and Affiliations

  1. St. John’s College, University of Oxford, Oxford, OX1 3JP, UK

    Charles Batty & Imre Vörös

  2. St. Anne’s College, University of Oxford, Oxford, OX2 6HS, UK

    Junaid Mubeen

Authors
  1. Charles Batty
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  2. Junaid Mubeen
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  3. Imre Vörös
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Correspondence to Charles Batty.

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Batty, C., Mubeen, J. & Vörös, I. Bounded H ∞-Calculus for Strip-Type Operators . Integr. Equ. Oper. Theory 72, 159–178 (2012). https://doi.org/10.1007/s00020-011-1922-z

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  • DOI: https://doi.org/10.1007/s00020-011-1922-z

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