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Regularization and convergence for singular perturbations

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Abstract

We present an abstract result on removing regularization for singular perturbations in the operator theory. Our main result concerns singular perturbations which are not (formally) semibounded from below.

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Author notes

  1. V. A. Zagrebnov

    Present address: Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, CIS (Russia)

Authors and Affiliations

  1. Fachbereich 3 Mathematik, Technische Universität Berlin, Strasse des 17. Juni 136, MA 7-2, W-1000, Berlin 12, FRG

    H. Neidhardt

  2. Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, Celestijnenlaan 200 D, B-3001, Leuven, Belgium

    V. A. Zagrebnov

Authors
  1. H. Neidhardt
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  2. V. A. Zagrebnov
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Communicated by H. Araki

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Neidhardt, H., Zagrebnov, V.A. Regularization and convergence for singular perturbations. Commun.Math. Phys. 149, 573–586 (1992). https://doi.org/10.1007/BF02096943

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  • DOI: https://doi.org/10.1007/BF02096943

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