2 papers
math.FA2026
Real spectral shift functions for pairs of contractions and pairs of dissipative operators
M. M. Malamud, H. Neidhardt, V. V. Peller
Recently the authors solved a long-standing problem and showed that for an arbitrary pair of contractions on Hilbert space with trace class difference has an integrable spectral sh…
math.FA2024
Real-valued spectral shift functions for contractions and dissipative operators
Mark M. Malamud, H. Neidhardt, Vladimir V. Peller
In recent joint papers the authors of this note solved a famous problem remained open for many years and proved that for arbitrary contractions with trace class difference there ex…