Real-valued spectral shift functions for pairs of contractions and pairs of dissipative operators

1 Jul 2023, 14:30
45m

Speaker

Vladimir Peller (St.Petersburg StateUniversity)

Description

The talk is based on joint results with M.M. Malamud. I am going to discuss conditions under which a pair of contractions on Hilbert space with trace class difference has a real integrable spectral shift functions. The case of pairs of dissipative operators will also be discussed.

The work is supported by the Ministry of Education and Science of the Russian Federation within the framework of the state task (project number FSSF-2023-0016).

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