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On Properties of the ξ-Function in Semi-finite von Neumann Algebras

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Abstract.

Versions of the Birman-Schwinger principle for (relative) trace class perturbation problems of dissipative operators in a semi-finite von Neumann algebra and self-adjoint operators affiliated with the algebra are obtained and applied in the study of the spectral shift function.

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  1. Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA

    Anna Skripka

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  1. Anna Skripka
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Correspondence to Anna Skripka.

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Skripka, A. On Properties of the ξ-Function in Semi-finite von Neumann Algebras. Integr. equ. oper. theory 62, 247–267 (2008). https://doi.org/10.1007/s00020-008-1617-2

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  • DOI: https://doi.org/10.1007/s00020-008-1617-2

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