Abstract.
This note studies the trace formula of a class of pure operators A with finite rank self-commutators satisfying the condition that there is a finite dimensional subspace containing the image of the self-commutator and invariant with respect to A *. Besides, in this class, the spectrum of the operator A is covered by the projection of a union of quadrature domains in some Riemann surfaces.
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Xia, D. Trace Formulas for Some Operators Related To Quadrature Domains in Riemann Surfaces. Integr. equ. oper. theory 47, 123–130 (2003). https://doi.org/10.1007/s00020-003-1156-9
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DOI: https://doi.org/10.1007/s00020-003-1156-9