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On the decomposition theorem for meromorphic Fredholm resolvents

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Abstract

In this note results of B. Gramsch and W. Kaballo [8] on the decomposition of meromorphic (semi-) Fredholm resolvents are sharpened. A condition on an Orlicz function φ is given, under which the singular part in this decomposition can be chosen meromorphic inN φ, the ideal of φ-nuclear operators. Then the necessity of this condition is studied. Moreover, it is shown that for the rather steep Orlicz functions relevant to this question,N φ equalsS φ, the ideal of φ-approximable operators.

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Authors and Affiliations

  1. Department of Mathematics, University of the Philippines at Los Baños, College, 4031, Laguna, Philippines

    Sharon Castillo

  2. Fachbereich Mathematik, Universität Dortmund, Postfach 50 05 00, D-44205, Dortmund, Germany

    Winfried Kaballo

Authors
  1. Sharon Castillo
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  2. Winfried Kaballo
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Dedicated to Professor Albert Schneider on the occasion of his 60th birthday

research supported by a grant from DAAD

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Castillo, S., Kaballo, W. On the decomposition theorem for meromorphic Fredholm resolvents. Integr equ oper theory 18, 78–87 (1994). https://doi.org/10.1007/BF01225213

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  • DOI: https://doi.org/10.1007/BF01225213

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