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Many parameter Hölder perturbation of unbounded operators

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Abstract

If \({u \mapsto A(u)}\) is a C 0,α-mapping, for 0 < α ≤ 1, having as values unbounded self-adjoint operators with compact resolvents and common domain of definition, parameterized by u in an (even infinite dimensional) space, then any continuous (in u) arrangement of the eigenvalues of A(u) is indeed C 0,α in u.

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Authors and Affiliations

  1. Fakultät für Mathematik, Universität Wien, Nordbergstrasse 15, 1090, Wien, Austria

    Andreas Kriegl, Peter W. Michor & Armin Rainer

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  1. Andreas Kriegl
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  2. Peter W. Michor
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  3. Armin Rainer
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Correspondence to Peter W. Michor.

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Kriegl, A., Michor, P.W. & Rainer, A. Many parameter Hölder perturbation of unbounded operators. Math. Ann. 353, 519–522 (2012). https://doi.org/10.1007/s00208-011-0693-9

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  • DOI: https://doi.org/10.1007/s00208-011-0693-9

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