Similarity problem for indefinite Sturm-Liouville operator

Vladimir Derkach (Vasyl'Stus Donetsk National U)

Nov 08. 2022, 09:45 — 10:15

We consider an indefinite Sturm-Liouville operator in the polar form in a weighted space with a non-odd weight with one turning point at 0.

For an operator with a discrete spectrum, we find new criteria for the operator to have Riesz basis property. In the singular case, the problem of similarity to a selfadjoint operator is studied. The results are based on a joint work with Branko Curgus (WWU, Bellingham, Washington) and Carsten Trunk (TU Ilmenau, Germany).

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Spectral Theory of Differential Operators in Quantum Theory (Workshop)
Jussi Behrndt (TU Graz)
Fritz Gesztesy (Baylor U, Waco)
Ari Laptev (Imperial College London)
Christiane Tretter (U Bern)