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On the discrete spectrum of non-selfadjoint operators with applications to Schrödinger operators with complex potentials

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GSTW05 - Emerging Horizons in Geometric Spectral Theory: an ECRs workshop

For relatively form-compact perturbations of non-negative selfadjoint operators, we obtain an upper bound on the number of discrete eigenvalues in half-planes separated from the positive real axis. As an application to Schrödinger operators, we generalise the Cwikel-Lieb-Rozenblum inequality to complex potentials and derive new Lieb-Thirring type inequalities. This is joint work with Sukrid Petpradittha (Durham).

This talk is part of the Isaac Newton Institute Seminar Series series.

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